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Finding the Third Proportional to 6.49 and 10.26

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Solution

The third proportional to 6.49 and 10.26 is: 16.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.49 : 10.26 = 10.26 : x
  2. Step 2: Convert to fraction form
    6.49/10.26 = 10.26/x
  3. Step 3: Cross multiply
    6.49x = 10.26 × 10.26
  4. Step 4: Simplify right side
    6.49x = 105.30
  5. Step 5: Solve for x
    x = 105.30/6.49
  6. Step 6: Final answer
    x = 16.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.