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Finding the Third Proportional to 16.72 and 36.30

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Solution

The third proportional to 16.72 and 36.30 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.72 : 36.30 = 36.30 : x
  2. Step 2: Convert to fraction form
    16.72/36.30 = 36.30/x
  3. Step 3: Cross multiply
    16.72x = 36.30 × 36.30
  4. Step 4: Simplify right side
    16.72x = 1,317.46
  5. Step 5: Solve for x
    x = 1,317.46/16.72
  6. Step 6: Final answer
    x = 78.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.