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Finding the Third Proportional to 2,230.03 and 6,016.78

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Solution

The third proportional to 2,230.03 and 6,016.78 is: 16,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.03 : 6,016.78 = 6,016.78 : x
  2. Step 2: Convert to fraction form
    2,230.03/6,016.78 = 6,016.78/x
  3. Step 3: Cross multiply
    2,230.03x = 6,016.78 × 6,016.78
  4. Step 4: Simplify right side
    2,230.03x = 36,201,656.61
  5. Step 5: Solve for x
    x = 36,201,656.61/2,230.03
  6. Step 6: Final answer
    x = 16,233.70

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.