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Finding the Third Proportional to 6,834.25 and 15,013.75

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Solution

The third proportional to 6,834.25 and 15,013.75 is: 32,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.25 : 15,013.75 = 15,013.75 : x
  2. Step 2: Convert to fraction form
    6,834.25/15,013.75 = 15,013.75/x
  3. Step 3: Cross multiply
    6,834.25x = 15,013.75 × 15,013.75
  4. Step 4: Simplify right side
    6,834.25x = 225,412,689.06
  5. Step 5: Solve for x
    x = 225,412,689.06/6,834.25
  6. Step 6: Final answer
    x = 32,982.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.