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Finding the Third Proportional to 10.75 and 17.78

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Solution

The third proportional to 10.75 and 17.78 is: 29.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 17.78 = 17.78 : x
  2. Step 2: Convert to fraction form
    10.75/17.78 = 17.78/x
  3. Step 3: Cross multiply
    10.75x = 17.78 × 17.78
  4. Step 4: Simplify right side
    10.75x = 316.17
  5. Step 5: Solve for x
    x = 316.17/10.75
  6. Step 6: Final answer
    x = 29.41

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.