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Finding the Third Proportional to 6,678 and 15,099

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Solution

The third proportional to 6,678 and 15,099 is: 34,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678 : 15,099 = 15,099 : x
  2. Step 2: Convert to fraction form
    6,678/15,099 = 15,099/x
  3. Step 3: Cross multiply
    6,678x = 15,099 × 15,099
  4. Step 4: Simplify right side
    6,678x = 227,979,801
  5. Step 5: Solve for x
    x = 227,979,801/6,678
  6. Step 6: Final answer
    x = 34,138.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.