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Finding the Third Proportional to 26,757 and 42,741

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Solution

The third proportional to 26,757 and 42,741 is: 68,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,757 : 42,741 = 42,741 : x
  2. Step 2: Convert to fraction form
    26,757/42,741 = 42,741/x
  3. Step 3: Cross multiply
    26,757x = 42,741 × 42,741
  4. Step 4: Simplify right side
    26,757x = 1,826,793,081
  5. Step 5: Solve for x
    x = 1,826,793,081/26,757
  6. Step 6: Final answer
    x = 68,273.46

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.