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Finding the Third Proportional to 6.86 and 14.52

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Solution

The third proportional to 6.86 and 14.52 is: 30.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 14.52 = 14.52 : x
  2. Step 2: Convert to fraction form
    6.86/14.52 = 14.52/x
  3. Step 3: Cross multiply
    6.86x = 14.52 × 14.52
  4. Step 4: Simplify right side
    6.86x = 210.71
  5. Step 5: Solve for x
    x = 210.71/6.86
  6. Step 6: Final answer
    x = 30.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.