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Finding the Third Proportional to 31,951.13 and 44,686.69

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Solution

The third proportional to 31,951.13 and 44,686.69 is: 62,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.13 : 44,686.69 = 44,686.69 : x
  2. Step 2: Convert to fraction form
    31,951.13/44,686.69 = 44,686.69/x
  3. Step 3: Cross multiply
    31,951.13x = 44,686.69 × 44,686.69
  4. Step 4: Simplify right side
    31,951.13x = 1,996,900,039.72
  5. Step 5: Solve for x
    x = 1,996,900,039.72/31,951.13
  6. Step 6: Final answer
    x = 62,498.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.