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Finding the Third Proportional to 4,126 and 8,563

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Solution

The third proportional to 4,126 and 8,563 is: 17,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 8,563 = 8,563 : x
  2. Step 2: Convert to fraction form
    4,126/8,563 = 8,563/x
  3. Step 3: Cross multiply
    4,126x = 8,563 × 8,563
  4. Step 4: Simplify right side
    4,126x = 73,324,969
  5. Step 5: Solve for x
    x = 73,324,969/4,126
  6. Step 6: Final answer
    x = 17,771.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.