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Finding the Third Proportional to 31,230 and 49,950

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Solution

The third proportional to 31,230 and 49,950 is: 79,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230 : 49,950 = 49,950 : x
  2. Step 2: Convert to fraction form
    31,230/49,950 = 49,950/x
  3. Step 3: Cross multiply
    31,230x = 49,950 × 49,950
  4. Step 4: Simplify right side
    31,230x = 2,495,002,500
  5. Step 5: Solve for x
    x = 2,495,002,500/31,230
  6. Step 6: Final answer
    x = 79,891.21

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.