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Finding the Third Proportional to 3,526 and 6,268

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Solution

The third proportional to 3,526 and 6,268 is: 11,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526 : 6,268 = 6,268 : x
  2. Step 2: Convert to fraction form
    3,526/6,268 = 6,268/x
  3. Step 3: Cross multiply
    3,526x = 6,268 × 6,268
  4. Step 4: Simplify right side
    3,526x = 39,287,824
  5. Step 5: Solve for x
    x = 39,287,824/3,526
  6. Step 6: Final answer
    x = 11,142.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.