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Finding the Third Proportional to 18.77 and 41.15

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Solution

The third proportional to 18.77 and 41.15 is: 90.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.77 : 41.15 = 41.15 : x
  2. Step 2: Convert to fraction form
    18.77/41.15 = 41.15/x
  3. Step 3: Cross multiply
    18.77x = 41.15 × 41.15
  4. Step 4: Simplify right side
    18.77x = 1,693.03
  5. Step 5: Solve for x
    x = 1,693.03/18.77
  6. Step 6: Final answer
    x = 90.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.