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Finding the Third Proportional to 45,217.13 and 66,472.31

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Solution

The third proportional to 45,217.13 and 66,472.31 is: 97,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217.13 : 66,472.31 = 66,472.31 : x
  2. Step 2: Convert to fraction form
    45,217.13/66,472.31 = 66,472.31/x
  3. Step 3: Cross multiply
    45,217.13x = 66,472.31 × 66,472.31
  4. Step 4: Simplify right side
    45,217.13x = 4,418,568,329.10
  5. Step 5: Solve for x
    x = 4,418,568,329.10/45,217.13
  6. Step 6: Final answer
    x = 97,718.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.