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Finding the Third Proportional to 31,166 and 48,339

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Solution

The third proportional to 31,166 and 48,339 is: 74,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166 : 48,339 = 48,339 : x
  2. Step 2: Convert to fraction form
    31,166/48,339 = 48,339/x
  3. Step 3: Cross multiply
    31,166x = 48,339 × 48,339
  4. Step 4: Simplify right side
    31,166x = 2,336,658,921
  5. Step 5: Solve for x
    x = 2,336,658,921/31,166
  6. Step 6: Final answer
    x = 74,974.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.