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Finding the Third Proportional to 49,408 and 76,425

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Solution

The third proportional to 49,408 and 76,425 is: 118,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408 : 76,425 = 76,425 : x
  2. Step 2: Convert to fraction form
    49,408/76,425 = 76,425/x
  3. Step 3: Cross multiply
    49,408x = 76,425 × 76,425
  4. Step 4: Simplify right side
    49,408x = 5,840,780,625
  5. Step 5: Solve for x
    x = 5,840,780,625/49,408
  6. Step 6: Final answer
    x = 118,215.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.