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Finding the Third Proportional to 5.14 and 8.36

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Solution

The third proportional to 5.14 and 8.36 is: 13.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 8.36 = 8.36 : x
  2. Step 2: Convert to fraction form
    5.14/8.36 = 8.36/x
  3. Step 3: Cross multiply
    5.14x = 8.36 × 8.36
  4. Step 4: Simplify right side
    5.14x = 69.83
  5. Step 5: Solve for x
    x = 69.83/5.14
  6. Step 6: Final answer
    x = 13.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.