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Finding the Third Proportional to 5.81 and 8.71

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Solution

The third proportional to 5.81 and 8.71 is: 13.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.81 : 8.71 = 8.71 : x
  2. Step 2: Convert to fraction form
    5.81/8.71 = 8.71/x
  3. Step 3: Cross multiply
    5.81x = 8.71 × 8.71
  4. Step 4: Simplify right side
    5.81x = 75.86
  5. Step 5: Solve for x
    x = 75.86/5.81
  6. Step 6: Final answer
    x = 13.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.