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Finding the Third Proportional to 31,149.38 and 66,376.31

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Solution

The third proportional to 31,149.38 and 66,376.31 is: 141,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.38 : 66,376.31 = 66,376.31 : x
  2. Step 2: Convert to fraction form
    31,149.38/66,376.31 = 66,376.31/x
  3. Step 3: Cross multiply
    31,149.38x = 66,376.31 × 66,376.31
  4. Step 4: Simplify right side
    31,149.38x = 4,405,814,861.10
  5. Step 5: Solve for x
    x = 4,405,814,861.10/31,149.38
  6. Step 6: Final answer
    x = 141,441.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.