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Finding the Third Proportional to 15.82 and 23.89

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Solution

The third proportional to 15.82 and 23.89 is: 36.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 23.89 = 23.89 : x
  2. Step 2: Convert to fraction form
    15.82/23.89 = 23.89/x
  3. Step 3: Cross multiply
    15.82x = 23.89 × 23.89
  4. Step 4: Simplify right side
    15.82x = 570.67
  5. Step 5: Solve for x
    x = 570.67/15.82
  6. Step 6: Final answer
    x = 36.07

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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.