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Finding the Third Proportional to 0.13 and 0.29

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Solution

The third proportional to 0.13 and 0.29 is: 0.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.13 : 0.29 = 0.29 : x
  2. Step 2: Convert to fraction form
    0.13/0.29 = 0.29/x
  3. Step 3: Cross multiply
    0.13x = 0.29 × 0.29
  4. Step 4: Simplify right side
    0.13x = 0.08
  5. Step 5: Solve for x
    x = 0.08/0.13
  6. Step 6: Final answer
    x = 0.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.