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Finding the Third Proportional to 6.36 and 9.80

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Solution

The third proportional to 6.36 and 9.80 is: 15.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.36 : 9.80 = 9.80 : x
  2. Step 2: Convert to fraction form
    6.36/9.80 = 9.80/x
  3. Step 3: Cross multiply
    6.36x = 9.80 × 9.80
  4. Step 4: Simplify right side
    6.36x = 96.06
  5. Step 5: Solve for x
    x = 96.06/6.36
  6. Step 6: Final answer
    x = 15.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.