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Finding the Third Proportional to 15.92 and 34

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Solution

The third proportional to 15.92 and 34 is: 72.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.92 : 34 = 34 : x
  2. Step 2: Convert to fraction form
    15.92/34 = 34/x
  3. Step 3: Cross multiply
    15.92x = 34 × 34
  4. Step 4: Simplify right side
    15.92x = 1,156
  5. Step 5: Solve for x
    x = 1,156/15.92
  6. Step 6: Final answer
    x = 72.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.