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Finding the Third Proportional to 31,840 and 48,489

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Solution

The third proportional to 31,840 and 48,489 is: 73,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840 : 48,489 = 48,489 : x
  2. Step 2: Convert to fraction form
    31,840/48,489 = 48,489/x
  3. Step 3: Cross multiply
    31,840x = 48,489 × 48,489
  4. Step 4: Simplify right side
    31,840x = 2,351,183,121
  5. Step 5: Solve for x
    x = 2,351,183,121/31,840
  6. Step 6: Final answer
    x = 73,843.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.