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Finding the Third Proportional to 24,564 and 52,392

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Solution

The third proportional to 24,564 and 52,392 is: 111,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 52,392 = 52,392 : x
  2. Step 2: Convert to fraction form
    24,564/52,392 = 52,392/x
  3. Step 3: Cross multiply
    24,564x = 52,392 × 52,392
  4. Step 4: Simplify right side
    24,564x = 2,744,921,664
  5. Step 5: Solve for x
    x = 2,744,921,664/24,564
  6. Step 6: Final answer
    x = 111,745.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.