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Finding the Third Proportional to 24,801 and 58,497

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Solution

The third proportional to 24,801 and 58,497 is: 137,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801 : 58,497 = 58,497 : x
  2. Step 2: Convert to fraction form
    24,801/58,497 = 58,497/x
  3. Step 3: Cross multiply
    24,801x = 58,497 × 58,497
  4. Step 4: Simplify right side
    24,801x = 3,421,899,009
  5. Step 5: Solve for x
    x = 3,421,899,009/24,801
  6. Step 6: Final answer
    x = 137,974.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.