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Finding the Third Proportional to 24,118 and 52,246

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Solution

The third proportional to 24,118 and 52,246 is: 113,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118 : 52,246 = 52,246 : x
  2. Step 2: Convert to fraction form
    24,118/52,246 = 52,246/x
  3. Step 3: Cross multiply
    24,118x = 52,246 × 52,246
  4. Step 4: Simplify right side
    24,118x = 2,729,644,516
  5. Step 5: Solve for x
    x = 2,729,644,516/24,118
  6. Step 6: Final answer
    x = 113,178.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.