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Finding the Third Proportional to 5.62 and 13.19

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Solution

The third proportional to 5.62 and 13.19 is: 30.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.62 : 13.19 = 13.19 : x
  2. Step 2: Convert to fraction form
    5.62/13.19 = 13.19/x
  3. Step 3: Cross multiply
    5.62x = 13.19 × 13.19
  4. Step 4: Simplify right side
    5.62x = 174.08
  5. Step 5: Solve for x
    x = 174.08/5.62
  6. Step 6: Final answer
    x = 30.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.