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Finding the Third Proportional to 4,122 and 8,468

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Solution

The third proportional to 4,122 and 8,468 is: 17,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 8,468 = 8,468 : x
  2. Step 2: Convert to fraction form
    4,122/8,468 = 8,468/x
  3. Step 3: Cross multiply
    4,122x = 8,468 × 8,468
  4. Step 4: Simplify right side
    4,122x = 71,707,024
  5. Step 5: Solve for x
    x = 71,707,024/4,122
  6. Step 6: Final answer
    x = 17,396.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.