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Finding the Third Proportional to 3,538 and 6,563

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Solution

The third proportional to 3,538 and 6,563 is: 12,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 6,563 = 6,563 : x
  2. Step 2: Convert to fraction form
    3,538/6,563 = 6,563/x
  3. Step 3: Cross multiply
    3,538x = 6,563 × 6,563
  4. Step 4: Simplify right side
    3,538x = 43,072,969
  5. Step 5: Solve for x
    x = 43,072,969/3,538
  6. Step 6: Final answer
    x = 12,174.38

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.