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Finding the Third Proportional to 2.31 and 5.22

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Solution

The third proportional to 2.31 and 5.22 is: 11.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.31 : 5.22 = 5.22 : x
  2. Step 2: Convert to fraction form
    2.31/5.22 = 5.22/x
  3. Step 3: Cross multiply
    2.31x = 5.22 × 5.22
  4. Step 4: Simplify right side
    2.31x = 27.24
  5. Step 5: Solve for x
    x = 27.24/2.31
  6. Step 6: Final answer
    x = 11.78

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.