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Finding the Third Proportional to 40.27 and 66.14

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Solution

The third proportional to 40.27 and 66.14 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.27 : 66.14 = 66.14 : x
  2. Step 2: Convert to fraction form
    40.27/66.14 = 66.14/x
  3. Step 3: Cross multiply
    40.27x = 66.14 × 66.14
  4. Step 4: Simplify right side
    40.27x = 4,374.58
  5. Step 5: Solve for x
    x = 4,374.58/40.27
  6. Step 6: Final answer
    x = 108.64

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.