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Finding the Third Proportional to 6,724 and 16,216

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Solution

The third proportional to 6,724 and 16,216 is: 39,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 16,216 = 16,216 : x
  2. Step 2: Convert to fraction form
    6,724/16,216 = 16,216/x
  3. Step 3: Cross multiply
    6,724x = 16,216 × 16,216
  4. Step 4: Simplify right side
    6,724x = 262,958,656
  5. Step 5: Solve for x
    x = 262,958,656/6,724
  6. Step 6: Final answer
    x = 39,107.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.