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Finding the Third Proportional to 24,211 and 52,246

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Solution

The third proportional to 24,211 and 52,246 is: 112,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211 : 52,246 = 52,246 : x
  2. Step 2: Convert to fraction form
    24,211/52,246 = 52,246/x
  3. Step 3: Cross multiply
    24,211x = 52,246 × 52,246
  4. Step 4: Simplify right side
    24,211x = 2,729,644,516
  5. Step 5: Solve for x
    x = 2,729,644,516/24,211
  6. Step 6: Final answer
    x = 112,743.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.