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Finding the Third Proportional to 10,472.66 and 22,788.13

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Solution

The third proportional to 10,472.66 and 22,788.13 is: 49,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.66 : 22,788.13 = 22,788.13 : x
  2. Step 2: Convert to fraction form
    10,472.66/22,788.13 = 22,788.13/x
  3. Step 3: Cross multiply
    10,472.66x = 22,788.13 × 22,788.13
  4. Step 4: Simplify right side
    10,472.66x = 519,298,641.02
  5. Step 5: Solve for x
    x = 519,298,641.02/10,472.66
  6. Step 6: Final answer
    x = 49,586.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.