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Finding the Third Proportional to 30.75 and 81

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Solution

The third proportional to 30.75 and 81 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 81 = 81 : x
  2. Step 2: Convert to fraction form
    30.75/81 = 81/x
  3. Step 3: Cross multiply
    30.75x = 81 × 81
  4. Step 4: Simplify right side
    30.75x = 6,561
  5. Step 5: Solve for x
    x = 6,561/30.75
  6. Step 6: Final answer
    x = 213.37

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.