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Finding the Third Proportional to 11.75 and 16.50

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Solution

The third proportional to 11.75 and 16.50 is: 23.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.75 : 16.50 = 16.50 : x
  2. Step 2: Convert to fraction form
    11.75/16.50 = 16.50/x
  3. Step 3: Cross multiply
    11.75x = 16.50 × 16.50
  4. Step 4: Simplify right side
    11.75x = 272.25
  5. Step 5: Solve for x
    x = 272.25/11.75
  6. Step 6: Final answer
    x = 23.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.