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Finding the Third Proportional to 31,773.50 and 62,749

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Solution

The third proportional to 31,773.50 and 62,749 is: 123,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.50 : 62,749 = 62,749 : x
  2. Step 2: Convert to fraction form
    31,773.50/62,749 = 62,749/x
  3. Step 3: Cross multiply
    31,773.50x = 62,749 × 62,749
  4. Step 4: Simplify right side
    31,773.50x = 3,937,437,001
  5. Step 5: Solve for x
    x = 3,937,437,001/31,773.50
  6. Step 6: Final answer
    x = 123,922.04

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Why These Related Problems?

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