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Finding the Third Proportional to 10,669 and 22,206.50

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Solution

The third proportional to 10,669 and 22,206.50 is: 46,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669 : 22,206.50 = 22,206.50 : x
  2. Step 2: Convert to fraction form
    10,669/22,206.50 = 22,206.50/x
  3. Step 3: Cross multiply
    10,669x = 22,206.50 × 22,206.50
  4. Step 4: Simplify right side
    10,669x = 493,128,642.25
  5. Step 5: Solve for x
    x = 493,128,642.25/10,669
  6. Step 6: Final answer
    x = 46,220.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.