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Finding the Third Proportional to 10,891 and 22,011

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Solution

The third proportional to 10,891 and 22,011 is: 44,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891 : 22,011 = 22,011 : x
  2. Step 2: Convert to fraction form
    10,891/22,011 = 22,011/x
  3. Step 3: Cross multiply
    10,891x = 22,011 × 22,011
  4. Step 4: Simplify right side
    10,891x = 484,484,121
  5. Step 5: Solve for x
    x = 484,484,121/10,891
  6. Step 6: Final answer
    x = 44,484.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.