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Finding the Third Proportional to 6.09 and 16.76

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Solution

The third proportional to 6.09 and 16.76 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.09 : 16.76 = 16.76 : x
  2. Step 2: Convert to fraction form
    6.09/16.76 = 16.76/x
  3. Step 3: Cross multiply
    6.09x = 16.76 × 16.76
  4. Step 4: Simplify right side
    6.09x = 280.90
  5. Step 5: Solve for x
    x = 280.90/6.09
  6. Step 6: Final answer
    x = 46.09

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.