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Finding the Third Proportional to 4,732.80 and 10,371.16

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Solution

The third proportional to 4,732.80 and 10,371.16 is: 22,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.80 : 10,371.16 = 10,371.16 : x
  2. Step 2: Convert to fraction form
    4,732.80/10,371.16 = 10,371.16/x
  3. Step 3: Cross multiply
    4,732.80x = 10,371.16 × 10,371.16
  4. Step 4: Simplify right side
    4,732.80x = 107,561,044.01
  5. Step 5: Solve for x
    x = 107,561,044.01/4,732.80
  6. Step 6: Final answer
    x = 22,726.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.