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Finding the Third Proportional to 15.84 and 23.67

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Solution

The third proportional to 15.84 and 23.67 is: 35.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 23.67 = 23.67 : x
  2. Step 2: Convert to fraction form
    15.84/23.67 = 23.67/x
  3. Step 3: Cross multiply
    15.84x = 23.67 × 23.67
  4. Step 4: Simplify right side
    15.84x = 560.32
  5. Step 5: Solve for x
    x = 560.32/15.84
  6. Step 6: Final answer
    x = 35.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.