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Finding the Third Proportional to 26.78 and 40.16

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Solution

The third proportional to 26.78 and 40.16 is: 60.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 40.16 = 40.16 : x
  2. Step 2: Convert to fraction form
    26.78/40.16 = 40.16/x
  3. Step 3: Cross multiply
    26.78x = 40.16 × 40.16
  4. Step 4: Simplify right side
    26.78x = 1,612.52
  5. Step 5: Solve for x
    x = 1,612.52/26.78
  6. Step 6: Final answer
    x = 60.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.