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Finding the Third Proportional to 24,868 and 38,419

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Solution

The third proportional to 24,868 and 38,419 is: 59,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868 : 38,419 = 38,419 : x
  2. Step 2: Convert to fraction form
    24,868/38,419 = 38,419/x
  3. Step 3: Cross multiply
    24,868x = 38,419 × 38,419
  4. Step 4: Simplify right side
    24,868x = 1,476,019,561
  5. Step 5: Solve for x
    x = 1,476,019,561/24,868
  6. Step 6: Final answer
    x = 59,354.17

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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.