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Finding the Third Proportional to 31,687.50 and 66,939

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Solution

The third proportional to 31,687.50 and 66,939 is: 141,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.50 : 66,939 = 66,939 : x
  2. Step 2: Convert to fraction form
    31,687.50/66,939 = 66,939/x
  3. Step 3: Cross multiply
    31,687.50x = 66,939 × 66,939
  4. Step 4: Simplify right side
    31,687.50x = 4,480,829,721
  5. Step 5: Solve for x
    x = 4,480,829,721/31,687.50
  6. Step 6: Final answer
    x = 141,406.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.