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Finding the Third Proportional to 6,204 and 13,124

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Solution

The third proportional to 6,204 and 13,124 is: 27,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204 : 13,124 = 13,124 : x
  2. Step 2: Convert to fraction form
    6,204/13,124 = 13,124/x
  3. Step 3: Cross multiply
    6,204x = 13,124 × 13,124
  4. Step 4: Simplify right side
    6,204x = 172,239,376
  5. Step 5: Solve for x
    x = 172,239,376/6,204
  6. Step 6: Final answer
    x = 27,762.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.