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Finding the Third Proportional to 31,194 and 48,839

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Solution

The third proportional to 31,194 and 48,839 is: 76,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 48,839 = 48,839 : x
  2. Step 2: Convert to fraction form
    31,194/48,839 = 48,839/x
  3. Step 3: Cross multiply
    31,194x = 48,839 × 48,839
  4. Step 4: Simplify right side
    31,194x = 2,385,247,921
  5. Step 5: Solve for x
    x = 2,385,247,921/31,194
  6. Step 6: Final answer
    x = 76,464.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.