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Finding the Third Proportional to 24,897 and 52,102

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Solution

The third proportional to 24,897 and 52,102 is: 109,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897 : 52,102 = 52,102 : x
  2. Step 2: Convert to fraction form
    24,897/52,102 = 52,102/x
  3. Step 3: Cross multiply
    24,897x = 52,102 × 52,102
  4. Step 4: Simplify right side
    24,897x = 2,714,618,404
  5. Step 5: Solve for x
    x = 2,714,618,404/24,897
  6. Step 6: Final answer
    x = 109,033.96

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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.