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Finding the Third Proportional to 31,599.69 and 44,447.13

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Solution

The third proportional to 31,599.69 and 44,447.13 is: 62,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.69 : 44,447.13 = 44,447.13 : x
  2. Step 2: Convert to fraction form
    31,599.69/44,447.13 = 44,447.13/x
  3. Step 3: Cross multiply
    31,599.69x = 44,447.13 × 44,447.13
  4. Step 4: Simplify right side
    31,599.69x = 1,975,546,920.77
  5. Step 5: Solve for x
    x = 1,975,546,920.77/31,599.69
  6. Step 6: Final answer
    x = 62,517.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.