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Finding the Third Proportional to 0.38 and 1.71

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Solution

The third proportional to 0.38 and 1.71 is: 7.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.38 : 1.71 = 1.71 : x
  2. Step 2: Convert to fraction form
    0.38/1.71 = 1.71/x
  3. Step 3: Cross multiply
    0.38x = 1.71 × 1.71
  4. Step 4: Simplify right side
    0.38x = 2.93
  5. Step 5: Solve for x
    x = 2.93/0.38
  6. Step 6: Final answer
    x = 7.70

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Why These Related Problems?

These problems maintain the same ratio (4.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.