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Finding the Third Proportional to 4,102 and 8,446

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Solution

The third proportional to 4,102 and 8,446 is: 17,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102 : 8,446 = 8,446 : x
  2. Step 2: Convert to fraction form
    4,102/8,446 = 8,446/x
  3. Step 3: Cross multiply
    4,102x = 8,446 × 8,446
  4. Step 4: Simplify right side
    4,102x = 71,334,916
  5. Step 5: Solve for x
    x = 71,334,916/4,102
  6. Step 6: Final answer
    x = 17,390.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.