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Finding the Third Proportional to 27.28 and 43.59

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Solution

The third proportional to 27.28 and 43.59 is: 69.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.28 : 43.59 = 43.59 : x
  2. Step 2: Convert to fraction form
    27.28/43.59 = 43.59/x
  3. Step 3: Cross multiply
    27.28x = 43.59 × 43.59
  4. Step 4: Simplify right side
    27.28x = 1,900.42
  5. Step 5: Solve for x
    x = 1,900.42/27.28
  6. Step 6: Final answer
    x = 69.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.