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Finding the Third Proportional to 3.65 and 6.77

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Solution

The third proportional to 3.65 and 6.77 is: 12.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.65 : 6.77 = 6.77 : x
  2. Step 2: Convert to fraction form
    3.65/6.77 = 6.77/x
  3. Step 3: Cross multiply
    3.65x = 6.77 × 6.77
  4. Step 4: Simplify right side
    3.65x = 45.86
  5. Step 5: Solve for x
    x = 45.86/3.65
  6. Step 6: Final answer
    x = 12.57

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.