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Finding the Third Proportional to 7.13 and 13.46

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Solution

The third proportional to 7.13 and 13.46 is: 25.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.13 : 13.46 = 13.46 : x
  2. Step 2: Convert to fraction form
    7.13/13.46 = 13.46/x
  3. Step 3: Cross multiply
    7.13x = 13.46 × 13.46
  4. Step 4: Simplify right side
    7.13x = 181.18
  5. Step 5: Solve for x
    x = 181.18/7.13
  6. Step 6: Final answer
    x = 25.42

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.