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Finding the Third Proportional to 16.22 and 34.97

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Solution

The third proportional to 16.22 and 34.97 is: 75.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.22 : 34.97 = 34.97 : x
  2. Step 2: Convert to fraction form
    16.22/34.97 = 34.97/x
  3. Step 3: Cross multiply
    16.22x = 34.97 × 34.97
  4. Step 4: Simplify right side
    16.22x = 1,222.81
  5. Step 5: Solve for x
    x = 1,222.81/16.22
  6. Step 6: Final answer
    x = 75.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.