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Finding the Third Proportional to 1.77 and 3.56

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Solution

The third proportional to 1.77 and 3.56 is: 7.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.77 : 3.56 = 3.56 : x
  2. Step 2: Convert to fraction form
    1.77/3.56 = 3.56/x
  3. Step 3: Cross multiply
    1.77x = 3.56 × 3.56
  4. Step 4: Simplify right side
    1.77x = 12.69
  5. Step 5: Solve for x
    x = 12.69/1.77
  6. Step 6: Final answer
    x = 7.17

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.