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Finding the Third Proportional to 1.72 and 4.11

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Solution

The third proportional to 1.72 and 4.11 is: 9.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.72 : 4.11 = 4.11 : x
  2. Step 2: Convert to fraction form
    1.72/4.11 = 4.11/x
  3. Step 3: Cross multiply
    1.72x = 4.11 × 4.11
  4. Step 4: Simplify right side
    1.72x = 16.89
  5. Step 5: Solve for x
    x = 16.89/1.72
  6. Step 6: Final answer
    x = 9.83

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.