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Finding the Third Proportional to 24,408 and 50,275

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Solution

The third proportional to 24,408 and 50,275 is: 103,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 50,275 = 50,275 : x
  2. Step 2: Convert to fraction form
    24,408/50,275 = 50,275/x
  3. Step 3: Cross multiply
    24,408x = 50,275 × 50,275
  4. Step 4: Simplify right side
    24,408x = 2,527,575,625
  5. Step 5: Solve for x
    x = 2,527,575,625/24,408
  6. Step 6: Final answer
    x = 103,555.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.