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Finding the Third Proportional to 5,378 and 8,563

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Solution

The third proportional to 5,378 and 8,563 is: 13,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 8,563 = 8,563 : x
  2. Step 2: Convert to fraction form
    5,378/8,563 = 8,563/x
  3. Step 3: Cross multiply
    5,378x = 8,563 × 8,563
  4. Step 4: Simplify right side
    5,378x = 73,324,969
  5. Step 5: Solve for x
    x = 73,324,969/5,378
  6. Step 6: Final answer
    x = 13,634.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.