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Finding the Third Proportional to 31,959 and 44,695.50

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Solution

The third proportional to 31,959 and 44,695.50 is: 62,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959 : 44,695.50 = 44,695.50 : x
  2. Step 2: Convert to fraction form
    31,959/44,695.50 = 44,695.50/x
  3. Step 3: Cross multiply
    31,959x = 44,695.50 × 44,695.50
  4. Step 4: Simplify right side
    31,959x = 1,997,687,720.25
  5. Step 5: Solve for x
    x = 1,997,687,720.25/31,959
  6. Step 6: Final answer
    x = 62,507.83

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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.