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Finding the Third Proportional to 25,686 and 38,419

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Solution

The third proportional to 25,686 and 38,419 is: 57,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686 : 38,419 = 38,419 : x
  2. Step 2: Convert to fraction form
    25,686/38,419 = 38,419/x
  3. Step 3: Cross multiply
    25,686x = 38,419 × 38,419
  4. Step 4: Simplify right side
    25,686x = 1,476,019,561
  5. Step 5: Solve for x
    x = 1,476,019,561/25,686
  6. Step 6: Final answer
    x = 57,463.97

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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.