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Finding the Third Proportional to 31,620 and 50,934

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Solution

The third proportional to 31,620 and 50,934 is: 82,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620 : 50,934 = 50,934 : x
  2. Step 2: Convert to fraction form
    31,620/50,934 = 50,934/x
  3. Step 3: Cross multiply
    31,620x = 50,934 × 50,934
  4. Step 4: Simplify right side
    31,620x = 2,594,272,356
  5. Step 5: Solve for x
    x = 2,594,272,356/31,620
  6. Step 6: Final answer
    x = 82,045.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.