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Finding the Third Proportional to 6.86 and 8.92

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Solution

The third proportional to 6.86 and 8.92 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 8.92 = 8.92 : x
  2. Step 2: Convert to fraction form
    6.86/8.92 = 8.92/x
  3. Step 3: Cross multiply
    6.86x = 8.92 × 8.92
  4. Step 4: Simplify right side
    6.86x = 79.63
  5. Step 5: Solve for x
    x = 79.63/6.86
  6. Step 6: Final answer
    x = 11.60

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.