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Finding the Third Proportional to 24,378 and 50,689

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Solution

The third proportional to 24,378 and 50,689 is: 105,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 50,689 = 50,689 : x
  2. Step 2: Convert to fraction form
    24,378/50,689 = 50,689/x
  3. Step 3: Cross multiply
    24,378x = 50,689 × 50,689
  4. Step 4: Simplify right side
    24,378x = 2,569,374,721
  5. Step 5: Solve for x
    x = 2,569,374,721/24,378
  6. Step 6: Final answer
    x = 105,397.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.