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Finding the Third Proportional to 6.50 and 9.19

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Solution

The third proportional to 6.50 and 9.19 is: 12.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.50 : 9.19 = 9.19 : x
  2. Step 2: Convert to fraction form
    6.50/9.19 = 9.19/x
  3. Step 3: Cross multiply
    6.50x = 9.19 × 9.19
  4. Step 4: Simplify right side
    6.50x = 84.41
  5. Step 5: Solve for x
    x = 84.41/6.50
  6. Step 6: Final answer
    x = 12.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.