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Finding the Third Proportional to 0.06 and 0.47

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Solution

The third proportional to 0.06 and 0.47 is: 3.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.06 : 0.47 = 0.47 : x
  2. Step 2: Convert to fraction form
    0.06/0.47 = 0.47/x
  3. Step 3: Cross multiply
    0.06x = 0.47 × 0.47
  4. Step 4: Simplify right side
    0.06x = 0.23
  5. Step 5: Solve for x
    x = 0.23/0.06
  6. Step 6: Final answer
    x = 3.80

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Why These Related Problems?

These problems maintain the same ratio (8) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.