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Finding the Third Proportional to 10,998 and 22,340

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Solution

The third proportional to 10,998 and 22,340 is: 45,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998 : 22,340 = 22,340 : x
  2. Step 2: Convert to fraction form
    10,998/22,340 = 22,340/x
  3. Step 3: Cross multiply
    10,998x = 22,340 × 22,340
  4. Step 4: Simplify right side
    10,998x = 499,075,600
  5. Step 5: Solve for x
    x = 499,075,600/10,998
  6. Step 6: Final answer
    x = 45,378.76

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.