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Finding the Third Proportional to 0.05 and 0.42

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Solution

The third proportional to 0.05 and 0.42 is: 3.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.05 : 0.42 = 0.42 : x
  2. Step 2: Convert to fraction form
    0.05/0.42 = 0.42/x
  3. Step 3: Cross multiply
    0.05x = 0.42 × 0.42
  4. Step 4: Simplify right side
    0.05x = 0.18
  5. Step 5: Solve for x
    x = 0.18/0.05
  6. Step 6: Final answer
    x = 3.80

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Why These Related Problems?

These problems maintain the same ratio (9) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.