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Finding the Third Proportional to 15 and 27.38

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Solution

The third proportional to 15 and 27.38 is: 49.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 27.38 = 27.38 : x
  2. Step 2: Convert to fraction form
    15/27.38 = 27.38/x
  3. Step 3: Cross multiply
    15x = 27.38 × 27.38
  4. Step 4: Simplify right side
    15x = 749.39
  5. Step 5: Solve for x
    x = 749.39/15
  6. Step 6: Final answer
    x = 49.96

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.