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Finding the Third Proportional to 27 and 42

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Solution

The third proportional to 27 and 42 is: 65.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 42 = 42 : x
  2. Step 2: Convert to fraction form
    27/42 = 42/x
  3. Step 3: Cross multiply
    27x = 42 × 42
  4. Step 4: Simplify right side
    27x = 1,764
  5. Step 5: Solve for x
    x = 1,764/27
  6. Step 6: Final answer
    x = 65.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.