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Finding the Third Proportional to 15.42 and 27.72

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Solution

The third proportional to 15.42 and 27.72 is: 49.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 27.72 = 27.72 : x
  2. Step 2: Convert to fraction form
    15.42/27.72 = 27.72/x
  3. Step 3: Cross multiply
    15.42x = 27.72 × 27.72
  4. Step 4: Simplify right side
    15.42x = 768.33
  5. Step 5: Solve for x
    x = 768.33/15.42
  6. Step 6: Final answer
    x = 49.82

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.