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Finding the Third Proportional to 41,659.31 and 67,085.72

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Solution

The third proportional to 41,659.31 and 67,085.72 is: 108,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659.31 : 67,085.72 = 67,085.72 : x
  2. Step 2: Convert to fraction form
    41,659.31/67,085.72 = 67,085.72/x
  3. Step 3: Cross multiply
    41,659.31x = 67,085.72 × 67,085.72
  4. Step 4: Simplify right side
    41,659.31x = 4,500,493,660.20
  5. Step 5: Solve for x
    x = 4,500,493,660.20/41,659.31
  6. Step 6: Final answer
    x = 108,030.92

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.