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Finding the Third Proportional to 8.75 and 16.91

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Solution

The third proportional to 8.75 and 16.91 is: 32.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.75 : 16.91 = 16.91 : x
  2. Step 2: Convert to fraction form
    8.75/16.91 = 16.91/x
  3. Step 3: Cross multiply
    8.75x = 16.91 × 16.91
  4. Step 4: Simplify right side
    8.75x = 285.82
  5. Step 5: Solve for x
    x = 285.82/8.75
  6. Step 6: Final answer
    x = 32.67

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.