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Finding the Third Proportional to 3.37 and 4.97

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Solution

The third proportional to 3.37 and 4.97 is: 7.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.37 : 4.97 = 4.97 : x
  2. Step 2: Convert to fraction form
    3.37/4.97 = 4.97/x
  3. Step 3: Cross multiply
    3.37x = 4.97 × 4.97
  4. Step 4: Simplify right side
    3.37x = 24.71
  5. Step 5: Solve for x
    x = 24.71/3.37
  6. Step 6: Final answer
    x = 7.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.