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Finding the Third Proportional to 4.14 and 5.37

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Solution

The third proportional to 4.14 and 5.37 is: 6.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.14 : 5.37 = 5.37 : x
  2. Step 2: Convert to fraction form
    4.14/5.37 = 5.37/x
  3. Step 3: Cross multiply
    4.14x = 5.37 × 5.37
  4. Step 4: Simplify right side
    4.14x = 28.84
  5. Step 5: Solve for x
    x = 28.84/4.14
  6. Step 6: Final answer
    x = 6.97

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.