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Finding the Third Proportional to 1,195.17 and 1,845.91

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Solution

The third proportional to 1,195.17 and 1,845.91 is: 2,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.17 : 1,845.91 = 1,845.91 : x
  2. Step 2: Convert to fraction form
    1,195.17/1,845.91 = 1,845.91/x
  3. Step 3: Cross multiply
    1,195.17x = 1,845.91 × 1,845.91
  4. Step 4: Simplify right side
    1,195.17x = 3,407,398.73
  5. Step 5: Solve for x
    x = 3,407,398.73/1,195.17
  6. Step 6: Final answer
    x = 2,850.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.