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Finding the Third Proportional to 37,744 and 48,408

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Solution

The third proportional to 37,744 and 48,408 is: 62,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,744 : 48,408 = 48,408 : x
  2. Step 2: Convert to fraction form
    37,744/48,408 = 48,408/x
  3. Step 3: Cross multiply
    37,744x = 48,408 × 48,408
  4. Step 4: Simplify right side
    37,744x = 2,343,334,464
  5. Step 5: Solve for x
    x = 2,343,334,464/37,744
  6. Step 6: Final answer
    x = 62,084.95

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.