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Finding the Third Proportional to 41.03 and 87.54

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Solution

The third proportional to 41.03 and 87.54 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.03 : 87.54 = 87.54 : x
  2. Step 2: Convert to fraction form
    41.03/87.54 = 87.54/x
  3. Step 3: Cross multiply
    41.03x = 87.54 × 87.54
  4. Step 4: Simplify right side
    41.03x = 7,663.09
  5. Step 5: Solve for x
    x = 7,663.09/41.03
  6. Step 6: Final answer
    x = 186.78

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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.