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Finding the Third Proportional to 24,208 and 52,114

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Solution

The third proportional to 24,208 and 52,114 is: 112,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208 : 52,114 = 52,114 : x
  2. Step 2: Convert to fraction form
    24,208/52,114 = 52,114/x
  3. Step 3: Cross multiply
    24,208x = 52,114 × 52,114
  4. Step 4: Simplify right side
    24,208x = 2,715,868,996
  5. Step 5: Solve for x
    x = 2,715,868,996/24,208
  6. Step 6: Final answer
    x = 112,188.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.