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Finding the Third Proportional to 24,241 and 52,301

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Solution

The third proportional to 24,241 and 52,301 is: 112,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241 : 52,301 = 52,301 : x
  2. Step 2: Convert to fraction form
    24,241/52,301 = 52,301/x
  3. Step 3: Cross multiply
    24,241x = 52,301 × 52,301
  4. Step 4: Simplify right side
    24,241x = 2,735,394,601
  5. Step 5: Solve for x
    x = 2,735,394,601/24,241
  6. Step 6: Final answer
    x = 112,841.66

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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.