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Finding the Third Proportional to 6,598 and 10,204

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Solution

The third proportional to 6,598 and 10,204 is: 15,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 10,204 = 10,204 : x
  2. Step 2: Convert to fraction form
    6,598/10,204 = 10,204/x
  3. Step 3: Cross multiply
    6,598x = 10,204 × 10,204
  4. Step 4: Simplify right side
    6,598x = 104,121,616
  5. Step 5: Solve for x
    x = 104,121,616/6,598
  6. Step 6: Final answer
    x = 15,780.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.