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Finding the Third Proportional to 31,687 and 50,170.50

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Solution

The third proportional to 31,687 and 50,170.50 is: 79,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687 : 50,170.50 = 50,170.50 : x
  2. Step 2: Convert to fraction form
    31,687/50,170.50 = 50,170.50/x
  3. Step 3: Cross multiply
    31,687x = 50,170.50 × 50,170.50
  4. Step 4: Simplify right side
    31,687x = 2,517,079,070.25
  5. Step 5: Solve for x
    x = 2,517,079,070.25/31,687
  6. Step 6: Final answer
    x = 79,435.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.