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Finding the Third Proportional to 0.09 and 0.23

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Solution

The third proportional to 0.09 and 0.23 is: 0.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.09 : 0.23 = 0.23 : x
  2. Step 2: Convert to fraction form
    0.09/0.23 = 0.23/x
  3. Step 3: Cross multiply
    0.09x = 0.23 × 0.23
  4. Step 4: Simplify right side
    0.09x = 0.05
  5. Step 5: Solve for x
    x = 0.05/0.09
  6. Step 6: Final answer
    x = 0.59

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.