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Finding the Third Proportional to 16.76 and 36.74

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Solution

The third proportional to 16.76 and 36.74 is: 80.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.76 : 36.74 = 36.74 : x
  2. Step 2: Convert to fraction form
    16.76/36.74 = 36.74/x
  3. Step 3: Cross multiply
    16.76x = 36.74 × 36.74
  4. Step 4: Simplify right side
    16.76x = 1,349.84
  5. Step 5: Solve for x
    x = 1,349.84/16.76
  6. Step 6: Final answer
    x = 80.52

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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.