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Finding the Third Proportional to 24,901 and 52,110

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Solution

The third proportional to 24,901 and 52,110 is: 109,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901 : 52,110 = 52,110 : x
  2. Step 2: Convert to fraction form
    24,901/52,110 = 52,110/x
  3. Step 3: Cross multiply
    24,901x = 52,110 × 52,110
  4. Step 4: Simplify right side
    24,901x = 2,715,452,100
  5. Step 5: Solve for x
    x = 2,715,452,100/24,901
  6. Step 6: Final answer
    x = 109,049.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.