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Finding the Third Proportional to 3,834.84 and 6,016.15

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Solution

The third proportional to 3,834.84 and 6,016.15 is: 9,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 6,016.15 = 6,016.15 : x
  2. Step 2: Convert to fraction form
    3,834.84/6,016.15 = 6,016.15/x
  3. Step 3: Cross multiply
    3,834.84x = 6,016.15 × 6,016.15
  4. Step 4: Simplify right side
    3,834.84x = 36,194,042.02
  5. Step 5: Solve for x
    x = 36,194,042.02/3,834.84
  6. Step 6: Final answer
    x = 9,438.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.