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Finding the Third Proportional to 31,816.75 and 62,830

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Solution

The third proportional to 31,816.75 and 62,830 is: 124,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.75 : 62,830 = 62,830 : x
  2. Step 2: Convert to fraction form
    31,816.75/62,830 = 62,830/x
  3. Step 3: Cross multiply
    31,816.75x = 62,830 × 62,830
  4. Step 4: Simplify right side
    31,816.75x = 3,947,608,900
  5. Step 5: Solve for x
    x = 3,947,608,900/31,816.75
  6. Step 6: Final answer
    x = 124,073.29

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.