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Finding the Third Proportional to 8.90 and 18.54

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Solution

The third proportional to 8.90 and 18.54 is: 38.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.90 : 18.54 = 18.54 : x
  2. Step 2: Convert to fraction form
    8.90/18.54 = 18.54/x
  3. Step 3: Cross multiply
    8.90x = 18.54 × 18.54
  4. Step 4: Simplify right side
    8.90x = 343.59
  5. Step 5: Solve for x
    x = 343.59/8.90
  6. Step 6: Final answer
    x = 38.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.