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Finding the Third Proportional to 0.12 and 0.26

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Solution

The third proportional to 0.12 and 0.26 is: 0.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.12 : 0.26 = 0.26 : x
  2. Step 2: Convert to fraction form
    0.12/0.26 = 0.26/x
  3. Step 3: Cross multiply
    0.12x = 0.26 × 0.26
  4. Step 4: Simplify right side
    0.12x = 0.07
  5. Step 5: Solve for x
    x = 0.07/0.12
  6. Step 6: Final answer
    x = 0.57

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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.