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Finding the Third Proportional to 31,086 and 49,438

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Solution

The third proportional to 31,086 and 49,438 is: 78,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086 : 49,438 = 49,438 : x
  2. Step 2: Convert to fraction form
    31,086/49,438 = 49,438/x
  3. Step 3: Cross multiply
    31,086x = 49,438 × 49,438
  4. Step 4: Simplify right side
    31,086x = 2,444,115,844
  5. Step 5: Solve for x
    x = 2,444,115,844/31,086
  6. Step 6: Final answer
    x = 78,624.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.