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Finding the Third Proportional to 26.18 and 40.24

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Solution

The third proportional to 26.18 and 40.24 is: 61.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.18 : 40.24 = 40.24 : x
  2. Step 2: Convert to fraction form
    26.18/40.24 = 40.24/x
  3. Step 3: Cross multiply
    26.18x = 40.24 × 40.24
  4. Step 4: Simplify right side
    26.18x = 1,618.96
  5. Step 5: Solve for x
    x = 1,618.96/26.18
  6. Step 6: Final answer
    x = 61.83

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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.