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Finding the Third Proportional to 27.77 and 41.52

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Solution

The third proportional to 27.77 and 41.52 is: 62.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.77 : 41.52 = 41.52 : x
  2. Step 2: Convert to fraction form
    27.77/41.52 = 41.52/x
  3. Step 3: Cross multiply
    27.77x = 41.52 × 41.52
  4. Step 4: Simplify right side
    27.77x = 1,723.87
  5. Step 5: Solve for x
    x = 1,723.87/27.77
  6. Step 6: Final answer
    x = 62.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.