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Finding the Third Proportional to 24,876 and 52,830

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Solution

The third proportional to 24,876 and 52,830 is: 112,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 52,830 = 52,830 : x
  2. Step 2: Convert to fraction form
    24,876/52,830 = 52,830/x
  3. Step 3: Cross multiply
    24,876x = 52,830 × 52,830
  4. Step 4: Simplify right side
    24,876x = 2,791,008,900
  5. Step 5: Solve for x
    x = 2,791,008,900/24,876
  6. Step 6: Final answer
    x = 112,196.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.