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Finding the Third Proportional to 26.64 and 40.18

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Solution

The third proportional to 26.64 and 40.18 is: 60.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.64 : 40.18 = 40.18 : x
  2. Step 2: Convert to fraction form
    26.64/40.18 = 40.18/x
  3. Step 3: Cross multiply
    26.64x = 40.18 × 40.18
  4. Step 4: Simplify right side
    26.64x = 1,614.35
  5. Step 5: Solve for x
    x = 1,614.35/26.64
  6. Step 6: Final answer
    x = 60.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.