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Finding the Third Proportional to 4.87 and 6.36

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Solution

The third proportional to 4.87 and 6.36 is: 8.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.87 : 6.36 = 6.36 : x
  2. Step 2: Convert to fraction form
    4.87/6.36 = 6.36/x
  3. Step 3: Cross multiply
    4.87x = 6.36 × 6.36
  4. Step 4: Simplify right side
    4.87x = 40.44
  5. Step 5: Solve for x
    x = 40.44/4.87
  6. Step 6: Final answer
    x = 8.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.