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Finding the Third Proportional to 0.12 and 0.72

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Solution

The third proportional to 0.12 and 0.72 is: 4.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.12 : 0.72 = 0.72 : x
  2. Step 2: Convert to fraction form
    0.12/0.72 = 0.72/x
  3. Step 3: Cross multiply
    0.12x = 0.72 × 0.72
  4. Step 4: Simplify right side
    0.12x = 0.52
  5. Step 5: Solve for x
    x = 0.52/0.12
  6. Step 6: Final answer
    x = 4.22

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Why These Related Problems?

These problems maintain the same ratio (5.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.