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Finding the Third Proportional to 1,016.16 and 2,163.66

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Solution

The third proportional to 1,016.16 and 2,163.66 is: 4,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.16 : 2,163.66 = 2,163.66 : x
  2. Step 2: Convert to fraction form
    1,016.16/2,163.66 = 2,163.66/x
  3. Step 3: Cross multiply
    1,016.16x = 2,163.66 × 2,163.66
  4. Step 4: Simplify right side
    1,016.16x = 4,681,408.37
  5. Step 5: Solve for x
    x = 4,681,408.37/1,016.16
  6. Step 6: Final answer
    x = 4,606.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.