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Finding the Third Proportional to 5.93 and 8.71

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Solution

The third proportional to 5.93 and 8.71 is: 12.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.93 : 8.71 = 8.71 : x
  2. Step 2: Convert to fraction form
    5.93/8.71 = 8.71/x
  3. Step 3: Cross multiply
    5.93x = 8.71 × 8.71
  4. Step 4: Simplify right side
    5.93x = 75.80
  5. Step 5: Solve for x
    x = 75.80/5.93
  6. Step 6: Final answer
    x = 12.78

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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.