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Finding the Third Proportional to 27.05 and 35.24

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Solution

The third proportional to 27.05 and 35.24 is: 45.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 35.24 = 35.24 : x
  2. Step 2: Convert to fraction form
    27.05/35.24 = 35.24/x
  3. Step 3: Cross multiply
    27.05x = 35.24 × 35.24
  4. Step 4: Simplify right side
    27.05x = 1,241.84
  5. Step 5: Solve for x
    x = 1,241.84/27.05
  6. Step 6: Final answer
    x = 45.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.