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Finding the Third Proportional to 2,016.67 and 4,342.36

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Solution

The third proportional to 2,016.67 and 4,342.36 is: 9,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.67 : 4,342.36 = 4,342.36 : x
  2. Step 2: Convert to fraction form
    2,016.67/4,342.36 = 4,342.36/x
  3. Step 3: Cross multiply
    2,016.67x = 4,342.36 × 4,342.36
  4. Step 4: Simplify right side
    2,016.67x = 18,856,084.94
  5. Step 5: Solve for x
    x = 18,856,084.94/2,016.67
  6. Step 6: Final answer
    x = 9,350.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.