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Finding the Third Proportional to 31,868 and 50,630

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Solution

The third proportional to 31,868 and 50,630 is: 80,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868 : 50,630 = 50,630 : x
  2. Step 2: Convert to fraction form
    31,868/50,630 = 50,630/x
  3. Step 3: Cross multiply
    31,868x = 50,630 × 50,630
  4. Step 4: Simplify right side
    31,868x = 2,563,396,900
  5. Step 5: Solve for x
    x = 2,563,396,900/31,868
  6. Step 6: Final answer
    x = 80,437.96

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