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Finding the Third Proportional to 7.45 and 16.33

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Solution

The third proportional to 7.45 and 16.33 is: 35.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.45 : 16.33 = 16.33 : x
  2. Step 2: Convert to fraction form
    7.45/16.33 = 16.33/x
  3. Step 3: Cross multiply
    7.45x = 16.33 × 16.33
  4. Step 4: Simplify right side
    7.45x = 266.64
  5. Step 5: Solve for x
    x = 266.64/7.45
  6. Step 6: Final answer
    x = 35.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.