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Finding the Third Proportional to 31,642.31 and 44,502.75

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Solution

The third proportional to 31,642.31 and 44,502.75 is: 62,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.31 : 44,502.75 = 44,502.75 : x
  2. Step 2: Convert to fraction form
    31,642.31/44,502.75 = 44,502.75/x
  3. Step 3: Cross multiply
    31,642.31x = 44,502.75 × 44,502.75
  4. Step 4: Simplify right side
    31,642.31x = 1,980,494,757.56
  5. Step 5: Solve for x
    x = 1,980,494,757.56/31,642.31
  6. Step 6: Final answer
    x = 62,590.08

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