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Finding the Third Proportional to 31,694.25 and 48,720.75

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Solution

The third proportional to 31,694.25 and 48,720.75 is: 74,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.25 : 48,720.75 = 48,720.75 : x
  2. Step 2: Convert to fraction form
    31,694.25/48,720.75 = 48,720.75/x
  3. Step 3: Cross multiply
    31,694.25x = 48,720.75 × 48,720.75
  4. Step 4: Simplify right side
    31,694.25x = 2,373,711,480.56
  5. Step 5: Solve for x
    x = 2,373,711,480.56/31,694.25
  6. Step 6: Final answer
    x = 74,894.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.