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Finding the Third Proportional to 1,163.98 and 2,462.51

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Solution

The third proportional to 1,163.98 and 2,462.51 is: 5,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.98 : 2,462.51 = 2,462.51 : x
  2. Step 2: Convert to fraction form
    1,163.98/2,462.51 = 2,462.51/x
  3. Step 3: Cross multiply
    1,163.98x = 2,462.51 × 2,462.51
  4. Step 4: Simplify right side
    1,163.98x = 6,063,959.16
  5. Step 5: Solve for x
    x = 6,063,959.16/1,163.98
  6. Step 6: Final answer
    x = 5,209.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.