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Finding the Third Proportional to 6.10 and 14.78

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Solution

The third proportional to 6.10 and 14.78 is: 35.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 14.78 = 14.78 : x
  2. Step 2: Convert to fraction form
    6.10/14.78 = 14.78/x
  3. Step 3: Cross multiply
    6.10x = 14.78 × 14.78
  4. Step 4: Simplify right side
    6.10x = 218.44
  5. Step 5: Solve for x
    x = 218.44/6.10
  6. Step 6: Final answer
    x = 35.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.