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Finding the Third Proportional to 12,924 and 24,227

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Solution

The third proportional to 12,924 and 24,227 is: 45,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924 : 24,227 = 24,227 : x
  2. Step 2: Convert to fraction form
    12,924/24,227 = 24,227/x
  3. Step 3: Cross multiply
    12,924x = 24,227 × 24,227
  4. Step 4: Simplify right side
    12,924x = 586,947,529
  5. Step 5: Solve for x
    x = 586,947,529/12,924
  6. Step 6: Final answer
    x = 45,415.31

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.