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Finding the Third Proportional to 6.50 and 12.25

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Solution

The third proportional to 6.50 and 12.25 is: 23.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.50 : 12.25 = 12.25 : x
  2. Step 2: Convert to fraction form
    6.50/12.25 = 12.25/x
  3. Step 3: Cross multiply
    6.50x = 12.25 × 12.25
  4. Step 4: Simplify right side
    6.50x = 150.06
  5. Step 5: Solve for x
    x = 150.06/6.50
  6. Step 6: Final answer
    x = 23.09

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.