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Finding the Third Proportional to 24,143 and 50,493

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Solution

The third proportional to 24,143 and 50,493 is: 105,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143 : 50,493 = 50,493 : x
  2. Step 2: Convert to fraction form
    24,143/50,493 = 50,493/x
  3. Step 3: Cross multiply
    24,143x = 50,493 × 50,493
  4. Step 4: Simplify right side
    24,143x = 2,549,543,049
  5. Step 5: Solve for x
    x = 2,549,543,049/24,143
  6. Step 6: Final answer
    x = 105,601.75

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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.