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Finding the Third Proportional to 5,943.66 and 9,198.56

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Solution

The third proportional to 5,943.66 and 9,198.56 is: 14,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.66 : 9,198.56 = 9,198.56 : x
  2. Step 2: Convert to fraction form
    5,943.66/9,198.56 = 9,198.56/x
  3. Step 3: Cross multiply
    5,943.66x = 9,198.56 × 9,198.56
  4. Step 4: Simplify right side
    5,943.66x = 84,613,552.07
  5. Step 5: Solve for x
    x = 84,613,552.07/5,943.66
  6. Step 6: Final answer
    x = 14,235.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.