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Finding the Third Proportional to 9,049 and 13,249

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Solution

The third proportional to 9,049 and 13,249 is: 19,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049 : 13,249 = 13,249 : x
  2. Step 2: Convert to fraction form
    9,049/13,249 = 13,249/x
  3. Step 3: Cross multiply
    9,049x = 13,249 × 13,249
  4. Step 4: Simplify right side
    9,049x = 175,536,001
  5. Step 5: Solve for x
    x = 175,536,001/9,049
  6. Step 6: Final answer
    x = 19,398.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.