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Finding the Third Proportional to 1.77 and 3.71

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Solution

The third proportional to 1.77 and 3.71 is: 7.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.77 : 3.71 = 3.71 : x
  2. Step 2: Convert to fraction form
    1.77/3.71 = 3.71/x
  3. Step 3: Cross multiply
    1.77x = 3.71 × 3.71
  4. Step 4: Simplify right side
    1.77x = 13.77
  5. Step 5: Solve for x
    x = 13.77/1.77
  6. Step 6: Final answer
    x = 7.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.