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Finding the Third Proportional to 27.47 and 41.38

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Solution

The third proportional to 27.47 and 41.38 is: 62.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.47 : 41.38 = 41.38 : x
  2. Step 2: Convert to fraction form
    27.47/41.38 = 41.38/x
  3. Step 3: Cross multiply
    27.47x = 41.38 × 41.38
  4. Step 4: Simplify right side
    27.47x = 1,712.08
  5. Step 5: Solve for x
    x = 1,712.08/27.47
  6. Step 6: Final answer
    x = 62.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.