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Finding the Third Proportional to 3.30 and 4.40

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Solution

The third proportional to 3.30 and 4.40 is: 5.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.30 : 4.40 = 4.40 : x
  2. Step 2: Convert to fraction form
    3.30/4.40 = 4.40/x
  3. Step 3: Cross multiply
    3.30x = 4.40 × 4.40
  4. Step 4: Simplify right side
    3.30x = 19.34
  5. Step 5: Solve for x
    x = 19.34/3.30
  6. Step 6: Final answer
    x = 5.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.