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Finding the Third Proportional to 27.84 and 43.22

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Solution

The third proportional to 27.84 and 43.22 is: 67.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 43.22 = 43.22 : x
  2. Step 2: Convert to fraction form
    27.84/43.22 = 43.22/x
  3. Step 3: Cross multiply
    27.84x = 43.22 × 43.22
  4. Step 4: Simplify right side
    27.84x = 1,867.86
  5. Step 5: Solve for x
    x = 1,867.86/27.84
  6. Step 6: Final answer
    x = 67.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.