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Finding the Third Proportional to 5.14 and 6.97

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Solution

The third proportional to 5.14 and 6.97 is: 9.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 6.97 = 6.97 : x
  2. Step 2: Convert to fraction form
    5.14/6.97 = 6.97/x
  3. Step 3: Cross multiply
    5.14x = 6.97 × 6.97
  4. Step 4: Simplify right side
    5.14x = 48.64
  5. Step 5: Solve for x
    x = 48.64/5.14
  6. Step 6: Final answer
    x = 9.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.