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Finding the Third Proportional to 31,086.75 and 66,535.50

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Solution

The third proportional to 31,086.75 and 66,535.50 is: 142,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.75 : 66,535.50 = 66,535.50 : x
  2. Step 2: Convert to fraction form
    31,086.75/66,535.50 = 66,535.50/x
  3. Step 3: Cross multiply
    31,086.75x = 66,535.50 × 66,535.50
  4. Step 4: Simplify right side
    31,086.75x = 4,426,972,760.25
  5. Step 5: Solve for x
    x = 4,426,972,760.25/31,086.75
  6. Step 6: Final answer
    x = 142,407.06

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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.