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Finding the Third Proportional to 25,841 and 38,762

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Solution

The third proportional to 25,841 and 38,762 is: 58,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841 : 38,762 = 38,762 : x
  2. Step 2: Convert to fraction form
    25,841/38,762 = 38,762/x
  3. Step 3: Cross multiply
    25,841x = 38,762 × 38,762
  4. Step 4: Simplify right side
    25,841x = 1,502,492,644
  5. Step 5: Solve for x
    x = 1,502,492,644/25,841
  6. Step 6: Final answer
    x = 58,143.75

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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.