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Finding the Third Proportional to 24,402 and 49,866

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Solution

The third proportional to 24,402 and 49,866 is: 101,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402 : 49,866 = 49,866 : x
  2. Step 2: Convert to fraction form
    24,402/49,866 = 49,866/x
  3. Step 3: Cross multiply
    24,402x = 49,866 × 49,866
  4. Step 4: Simplify right side
    24,402x = 2,486,617,956
  5. Step 5: Solve for x
    x = 2,486,617,956/24,402
  6. Step 6: Final answer
    x = 101,902.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.