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Finding the Third Proportional to 31,761.75 and 67,741.50

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Solution

The third proportional to 31,761.75 and 67,741.50 is: 144,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.75 : 67,741.50 = 67,741.50 : x
  2. Step 2: Convert to fraction form
    31,761.75/67,741.50 = 67,741.50/x
  3. Step 3: Cross multiply
    31,761.75x = 67,741.50 × 67,741.50
  4. Step 4: Simplify right side
    31,761.75x = 4,588,910,822.25
  5. Step 5: Solve for x
    x = 4,588,910,822.25/31,761.75
  6. Step 6: Final answer
    x = 144,479.16

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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.