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Finding the Third Proportional to 31,626.07 and 48,951.21

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Solution

The third proportional to 31,626.07 and 48,951.21 is: 75,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626.07 : 48,951.21 = 48,951.21 : x
  2. Step 2: Convert to fraction form
    31,626.07/48,951.21 = 48,951.21/x
  3. Step 3: Cross multiply
    31,626.07x = 48,951.21 × 48,951.21
  4. Step 4: Simplify right side
    31,626.07x = 2,396,221,052.25
  5. Step 5: Solve for x
    x = 2,396,221,052.25/31,626.07
  6. Step 6: Final answer
    x = 75,767.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.