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Finding the Third Proportional to 12,565.13 and 29,089.13

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Solution

The third proportional to 12,565.13 and 29,089.13 is: 67,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.13 : 29,089.13 = 29,089.13 : x
  2. Step 2: Convert to fraction form
    12,565.13/29,089.13 = 29,089.13/x
  3. Step 3: Cross multiply
    12,565.13x = 29,089.13 × 29,089.13
  4. Step 4: Simplify right side
    12,565.13x = 846,177,193.27
  5. Step 5: Solve for x
    x = 846,177,193.27/12,565.13
  6. Step 6: Final answer
    x = 67,343.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.