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Finding the Third Proportional to 5.91 and 8.68

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Solution

The third proportional to 5.91 and 8.68 is: 12.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.91 : 8.68 = 8.68 : x
  2. Step 2: Convert to fraction form
    5.91/8.68 = 8.68/x
  3. Step 3: Cross multiply
    5.91x = 8.68 × 8.68
  4. Step 4: Simplify right side
    5.91x = 75.40
  5. Step 5: Solve for x
    x = 75.40/5.91
  6. Step 6: Final answer
    x = 12.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.