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Finding the Third Proportional to 16.75 and 35.50

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Solution

The third proportional to 16.75 and 35.50 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 35.50 = 35.50 : x
  2. Step 2: Convert to fraction form
    16.75/35.50 = 35.50/x
  3. Step 3: Cross multiply
    16.75x = 35.50 × 35.50
  4. Step 4: Simplify right side
    16.75x = 1,260.25
  5. Step 5: Solve for x
    x = 1,260.25/16.75
  6. Step 6: Final answer
    x = 75.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.