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Finding the Third Proportional to 6.52 and 9.44

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Solution

The third proportional to 6.52 and 9.44 is: 13.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.52 : 9.44 = 9.44 : x
  2. Step 2: Convert to fraction form
    6.52/9.44 = 9.44/x
  3. Step 3: Cross multiply
    6.52x = 9.44 × 9.44
  4. Step 4: Simplify right side
    6.52x = 89.10
  5. Step 5: Solve for x
    x = 89.10/6.52
  6. Step 6: Final answer
    x = 13.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.