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Finding the Third Proportional to 24,462 and 36,747

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Solution

The third proportional to 24,462 and 36,747 is: 55,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 36,747 = 36,747 : x
  2. Step 2: Convert to fraction form
    24,462/36,747 = 36,747/x
  3. Step 3: Cross multiply
    24,462x = 36,747 × 36,747
  4. Step 4: Simplify right side
    24,462x = 1,350,342,009
  5. Step 5: Solve for x
    x = 1,350,342,009/24,462
  6. Step 6: Final answer
    x = 55,201.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.