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Finding the Third Proportional to 31,092.75 and 66,534.75

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Solution

The third proportional to 31,092.75 and 66,534.75 is: 142,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.75 : 66,534.75 = 66,534.75 : x
  2. Step 2: Convert to fraction form
    31,092.75/66,534.75 = 66,534.75/x
  3. Step 3: Cross multiply
    31,092.75x = 66,534.75 × 66,534.75
  4. Step 4: Simplify right side
    31,092.75x = 4,426,872,957.56
  5. Step 5: Solve for x
    x = 4,426,872,957.56/31,092.75
  6. Step 6: Final answer
    x = 142,376.37

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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.