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Finding the Third Proportional to 15,589.13 and 34,207.31

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Solution

The third proportional to 15,589.13 and 34,207.31 is: 75,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.13 : 34,207.31 = 34,207.31 : x
  2. Step 2: Convert to fraction form
    15,589.13/34,207.31 = 34,207.31/x
  3. Step 3: Cross multiply
    15,589.13x = 34,207.31 × 34,207.31
  4. Step 4: Simplify right side
    15,589.13x = 1,170,140,228.47
  5. Step 5: Solve for x
    x = 1,170,140,228.47/15,589.13
  6. Step 6: Final answer
    x = 75,061.32

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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.