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Finding the Third Proportional to 4.37 and 6.94

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Solution

The third proportional to 4.37 and 6.94 is: 11.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.37 : 6.94 = 6.94 : x
  2. Step 2: Convert to fraction form
    4.37/6.94 = 6.94/x
  3. Step 3: Cross multiply
    4.37x = 6.94 × 6.94
  4. Step 4: Simplify right side
    4.37x = 48.10
  5. Step 5: Solve for x
    x = 48.10/4.37
  6. Step 6: Final answer
    x = 11.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.