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Finding the Third Proportional to 5.44 and 9.70

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Solution

The third proportional to 5.44 and 9.70 is: 17.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.44 : 9.70 = 9.70 : x
  2. Step 2: Convert to fraction form
    5.44/9.70 = 9.70/x
  3. Step 3: Cross multiply
    5.44x = 9.70 × 9.70
  4. Step 4: Simplify right side
    5.44x = 94.08
  5. Step 5: Solve for x
    x = 94.08/5.44
  6. Step 6: Final answer
    x = 17.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.