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Finding the Third Proportional to 3.19 and 3.25

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Solution

The third proportional to 3.19 and 3.25 is: 3.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.19 : 3.25 = 3.25 : x
  2. Step 2: Convert to fraction form
    3.19/3.25 = 3.25/x
  3. Step 3: Cross multiply
    3.19x = 3.25 × 3.25
  4. Step 4: Simplify right side
    3.19x = 10.56
  5. Step 5: Solve for x
    x = 10.56/3.19
  6. Step 6: Final answer
    x = 3.31

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.