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Finding the Third Proportional to 24,828 and 38,349

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Solution

The third proportional to 24,828 and 38,349 is: 59,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828 : 38,349 = 38,349 : x
  2. Step 2: Convert to fraction form
    24,828/38,349 = 38,349/x
  3. Step 3: Cross multiply
    24,828x = 38,349 × 38,349
  4. Step 4: Simplify right side
    24,828x = 1,470,645,801
  5. Step 5: Solve for x
    x = 1,470,645,801/24,828
  6. Step 6: Final answer
    x = 59,233.36

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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.