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Finding the Third Proportional to 26,344.31 and 39,517.13

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Solution

The third proportional to 26,344.31 and 39,517.13 is: 59,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344.31 : 39,517.13 = 39,517.13 : x
  2. Step 2: Convert to fraction form
    26,344.31/39,517.13 = 39,517.13/x
  3. Step 3: Cross multiply
    26,344.31x = 39,517.13 × 39,517.13
  4. Step 4: Simplify right side
    26,344.31x = 1,561,603,168.27
  5. Step 5: Solve for x
    x = 1,561,603,168.27/26,344.31
  6. Step 6: Final answer
    x = 59,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.