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Finding the Third Proportional to 27.05 and 56.24

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Solution

The third proportional to 27.05 and 56.24 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 56.24 = 56.24 : x
  2. Step 2: Convert to fraction form
    27.05/56.24 = 56.24/x
  3. Step 3: Cross multiply
    27.05x = 56.24 × 56.24
  4. Step 4: Simplify right side
    27.05x = 3,163.07
  5. Step 5: Solve for x
    x = 3,163.07/27.05
  6. Step 6: Final answer
    x = 116.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.