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Finding the Third Proportional to 16.45 and 35.75

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Solution

The third proportional to 16.45 and 35.75 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 35.75 = 35.75 : x
  2. Step 2: Convert to fraction form
    16.45/35.75 = 35.75/x
  3. Step 3: Cross multiply
    16.45x = 35.75 × 35.75
  4. Step 4: Simplify right side
    16.45x = 1,278.34
  5. Step 5: Solve for x
    x = 1,278.34/16.45
  6. Step 6: Final answer
    x = 77.70

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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.