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Finding the Third Proportional to 31,538 and 48,491

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Solution

The third proportional to 31,538 and 48,491 is: 74,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538 : 48,491 = 48,491 : x
  2. Step 2: Convert to fraction form
    31,538/48,491 = 48,491/x
  3. Step 3: Cross multiply
    31,538x = 48,491 × 48,491
  4. Step 4: Simplify right side
    31,538x = 2,351,377,081
  5. Step 5: Solve for x
    x = 2,351,377,081/31,538
  6. Step 6: Final answer
    x = 74,556.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.