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Finding the Third Proportional to 15.46 and 23.82

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Solution

The third proportional to 15.46 and 23.82 is: 36.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.46 : 23.82 = 23.82 : x
  2. Step 2: Convert to fraction form
    15.46/23.82 = 23.82/x
  3. Step 3: Cross multiply
    15.46x = 23.82 × 23.82
  4. Step 4: Simplify right side
    15.46x = 567.42
  5. Step 5: Solve for x
    x = 567.42/15.46
  6. Step 6: Final answer
    x = 36.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.