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Finding the Third Proportional to 10.86 and 27.95

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Solution

The third proportional to 10.86 and 27.95 is: 71.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 27.95 = 27.95 : x
  2. Step 2: Convert to fraction form
    10.86/27.95 = 27.95/x
  3. Step 3: Cross multiply
    10.86x = 27.95 × 27.95
  4. Step 4: Simplify right side
    10.86x = 781.16
  5. Step 5: Solve for x
    x = 781.16/10.86
  6. Step 6: Final answer
    x = 71.91

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.