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Finding the Third Proportional to 3.68 and 4.95

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Solution

The third proportional to 3.68 and 4.95 is: 6.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.68 : 4.95 = 4.95 : x
  2. Step 2: Convert to fraction form
    3.68/4.95 = 4.95/x
  3. Step 3: Cross multiply
    3.68x = 4.95 × 4.95
  4. Step 4: Simplify right side
    3.68x = 24.52
  5. Step 5: Solve for x
    x = 24.52/3.68
  6. Step 6: Final answer
    x = 6.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.