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Finding the Third Proportional to 2.76 and 4.03

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Solution

The third proportional to 2.76 and 4.03 is: 5.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.76 : 4.03 = 4.03 : x
  2. Step 2: Convert to fraction form
    2.76/4.03 = 4.03/x
  3. Step 3: Cross multiply
    2.76x = 4.03 × 4.03
  4. Step 4: Simplify right side
    2.76x = 16.27
  5. Step 5: Solve for x
    x = 16.27/2.76
  6. Step 6: Final answer
    x = 5.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.