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Finding the Third Proportional to 16.95 and 36.98

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Solution

The third proportional to 16.95 and 36.98 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.95 : 36.98 = 36.98 : x
  2. Step 2: Convert to fraction form
    16.95/36.98 = 36.98/x
  3. Step 3: Cross multiply
    16.95x = 36.98 × 36.98
  4. Step 4: Simplify right side
    16.95x = 1,367.84
  5. Step 5: Solve for x
    x = 1,367.84/16.95
  6. Step 6: Final answer
    x = 80.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.