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Finding the Third Proportional to 25,842 and 39,767

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Solution

The third proportional to 25,842 and 39,767 is: 61,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842 : 39,767 = 39,767 : x
  2. Step 2: Convert to fraction form
    25,842/39,767 = 39,767/x
  3. Step 3: Cross multiply
    25,842x = 39,767 × 39,767
  4. Step 4: Simplify right side
    25,842x = 1,581,414,289
  5. Step 5: Solve for x
    x = 1,581,414,289/25,842
  6. Step 6: Final answer
    x = 61,195.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.