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Finding the Third Proportional to 6.49 and 15.15

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Solution

The third proportional to 6.49 and 15.15 is: 35.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.49 : 15.15 = 15.15 : x
  2. Step 2: Convert to fraction form
    6.49/15.15 = 15.15/x
  3. Step 3: Cross multiply
    6.49x = 15.15 × 15.15
  4. Step 4: Simplify right side
    6.49x = 229.65
  5. Step 5: Solve for x
    x = 229.65/6.49
  6. Step 6: Final answer
    x = 35.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.