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Finding the Third Proportional to 31,032.75 and 66,439.31

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Solution

The third proportional to 31,032.75 and 66,439.31 is: 142,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.75 : 66,439.31 = 66,439.31 : x
  2. Step 2: Convert to fraction form
    31,032.75/66,439.31 = 66,439.31/x
  3. Step 3: Cross multiply
    31,032.75x = 66,439.31 × 66,439.31
  4. Step 4: Simplify right side
    31,032.75x = 4,414,182,245.47
  5. Step 5: Solve for x
    x = 4,414,182,245.47/31,032.75
  6. Step 6: Final answer
    x = 142,242.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.