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Finding the Third Proportional to 11,249 and 17,381

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Solution

The third proportional to 11,249 and 17,381 is: 26,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249 : 17,381 = 17,381 : x
  2. Step 2: Convert to fraction form
    11,249/17,381 = 17,381/x
  3. Step 3: Cross multiply
    11,249x = 17,381 × 17,381
  4. Step 4: Simplify right side
    11,249x = 302,099,161
  5. Step 5: Solve for x
    x = 302,099,161/11,249
  6. Step 6: Final answer
    x = 26,855.65

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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.