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Finding the Third Proportional to 16.45 and 35.30

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Solution

The third proportional to 16.45 and 35.30 is: 75.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 35.30 = 35.30 : x
  2. Step 2: Convert to fraction form
    16.45/35.30 = 35.30/x
  3. Step 3: Cross multiply
    16.45x = 35.30 × 35.30
  4. Step 4: Simplify right side
    16.45x = 1,245.87
  5. Step 5: Solve for x
    x = 1,245.87/16.45
  6. Step 6: Final answer
    x = 75.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.