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Finding the Third Proportional to 31,422.38 and 66,076.31

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Solution

The third proportional to 31,422.38 and 66,076.31 is: 138,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.38 : 66,076.31 = 66,076.31 : x
  2. Step 2: Convert to fraction form
    31,422.38/66,076.31 = 66,076.31/x
  3. Step 3: Cross multiply
    31,422.38x = 66,076.31 × 66,076.31
  4. Step 4: Simplify right side
    31,422.38x = 4,366,079,073.60
  5. Step 5: Solve for x
    x = 4,366,079,073.60/31,422.38
  6. Step 6: Final answer
    x = 138,948.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.