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Finding the Third Proportional to 24,017 and 52,802

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Solution

The third proportional to 24,017 and 52,802 is: 116,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017 : 52,802 = 52,802 : x
  2. Step 2: Convert to fraction form
    24,017/52,802 = 52,802/x
  3. Step 3: Cross multiply
    24,017x = 52,802 × 52,802
  4. Step 4: Simplify right side
    24,017x = 2,788,051,204
  5. Step 5: Solve for x
    x = 2,788,051,204/24,017
  6. Step 6: Final answer
    x = 116,086.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.