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Finding the Third Proportional to 0.03 and 0.06

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Solution

The third proportional to 0.03 and 0.06 is: 0.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.03 : 0.06 = 0.06 : x
  2. Step 2: Convert to fraction form
    0.03/0.06 = 0.06/x
  3. Step 3: Cross multiply
    0.03x = 0.06 × 0.06
  4. Step 4: Simplify right side
    0.03x = 0.00
  5. Step 5: Solve for x
    x = 0.00/0.03
  6. Step 6: Final answer
    x = 0.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.