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Finding the Third Proportional to 3,578 and 6,468

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Solution

The third proportional to 3,578 and 6,468 is: 11,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578 : 6,468 = 6,468 : x
  2. Step 2: Convert to fraction form
    3,578/6,468 = 6,468/x
  3. Step 3: Cross multiply
    3,578x = 6,468 × 6,468
  4. Step 4: Simplify right side
    3,578x = 41,835,024
  5. Step 5: Solve for x
    x = 41,835,024/3,578
  6. Step 6: Final answer
    x = 11,692.29

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.