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Finding the Third Proportional to 3.61 and 5.23

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Solution

The third proportional to 3.61 and 5.23 is: 7.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.61 : 5.23 = 5.23 : x
  2. Step 2: Convert to fraction form
    3.61/5.23 = 5.23/x
  3. Step 3: Cross multiply
    3.61x = 5.23 × 5.23
  4. Step 4: Simplify right side
    3.61x = 27.32
  5. Step 5: Solve for x
    x = 27.32/3.61
  6. Step 6: Final answer
    x = 7.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.