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Finding the Third Proportional to 4,816 and 5,536

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Solution

The third proportional to 4,816 and 5,536 is: 6,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816 : 5,536 = 5,536 : x
  2. Step 2: Convert to fraction form
    4,816/5,536 = 5,536/x
  3. Step 3: Cross multiply
    4,816x = 5,536 × 5,536
  4. Step 4: Simplify right side
    4,816x = 30,647,296
  5. Step 5: Solve for x
    x = 30,647,296/4,816
  6. Step 6: Final answer
    x = 6,363.64

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.