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Finding the Third Proportional to 2.28 and 4.23

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Solution

The third proportional to 2.28 and 4.23 is: 7.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.28 : 4.23 = 4.23 : x
  2. Step 2: Convert to fraction form
    2.28/4.23 = 4.23/x
  3. Step 3: Cross multiply
    2.28x = 4.23 × 4.23
  4. Step 4: Simplify right side
    2.28x = 17.87
  5. Step 5: Solve for x
    x = 17.87/2.28
  6. Step 6: Final answer
    x = 7.84

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.