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Finding the Third Proportional to 2.32 and 3.30

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Solution

The third proportional to 2.32 and 3.30 is: 4.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 3.30 = 3.30 : x
  2. Step 2: Convert to fraction form
    2.32/3.30 = 3.30/x
  3. Step 3: Cross multiply
    2.32x = 3.30 × 3.30
  4. Step 4: Simplify right side
    2.32x = 10.88
  5. Step 5: Solve for x
    x = 10.88/2.32
  6. Step 6: Final answer
    x = 4.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.