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Finding the Third Proportional to 3.74 and 9.18

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Solution

The third proportional to 3.74 and 9.18 is: 22.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.74 : 9.18 = 9.18 : x
  2. Step 2: Convert to fraction form
    3.74/9.18 = 9.18/x
  3. Step 3: Cross multiply
    3.74x = 9.18 × 9.18
  4. Step 4: Simplify right side
    3.74x = 84.22
  5. Step 5: Solve for x
    x = 84.22/3.74
  6. Step 6: Final answer
    x = 22.53

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.