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Finding the Third Proportional to 22,680.75 and 29,647.13

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Solution

The third proportional to 22,680.75 and 29,647.13 is: 38,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680.75 : 29,647.13 = 29,647.13 : x
  2. Step 2: Convert to fraction form
    22,680.75/29,647.13 = 29,647.13/x
  3. Step 3: Cross multiply
    22,680.75x = 29,647.13 × 29,647.13
  4. Step 4: Simplify right side
    22,680.75x = 878,952,020.77
  5. Step 5: Solve for x
    x = 878,952,020.77/22,680.75
  6. Step 6: Final answer
    x = 38,753.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.