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Finding the Third Proportional to 27.92 and 42.22

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Solution

The third proportional to 27.92 and 42.22 is: 63.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.92 : 42.22 = 42.22 : x
  2. Step 2: Convert to fraction form
    27.92/42.22 = 42.22/x
  3. Step 3: Cross multiply
    27.92x = 42.22 × 42.22
  4. Step 4: Simplify right side
    27.92x = 1,782.42
  5. Step 5: Solve for x
    x = 1,782.42/27.92
  6. Step 6: Final answer
    x = 63.84

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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.