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Finding the Third Proportional to 15,162.29 and 32,901.71

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Solution

The third proportional to 15,162.29 and 32,901.71 is: 71,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.29 : 32,901.71 = 32,901.71 : x
  2. Step 2: Convert to fraction form
    15,162.29/32,901.71 = 32,901.71/x
  3. Step 3: Cross multiply
    15,162.29x = 32,901.71 × 32,901.71
  4. Step 4: Simplify right side
    15,162.29x = 1,082,522,839.66
  5. Step 5: Solve for x
    x = 1,082,522,839.66/15,162.29
  6. Step 6: Final answer
    x = 71,395.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.