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Finding the Third Proportional to 27.21 and 42.71

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Solution

The third proportional to 27.21 and 42.71 is: 67.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 42.71 = 42.71 : x
  2. Step 2: Convert to fraction form
    27.21/42.71 = 42.71/x
  3. Step 3: Cross multiply
    27.21x = 42.71 × 42.71
  4. Step 4: Simplify right side
    27.21x = 1,824.56
  5. Step 5: Solve for x
    x = 1,824.56/27.21
  6. Step 6: Final answer
    x = 67.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.