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Finding the Third Proportional to 11,163 and 15,307

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Solution

The third proportional to 11,163 and 15,307 is: 20,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163 : 15,307 = 15,307 : x
  2. Step 2: Convert to fraction form
    11,163/15,307 = 15,307/x
  3. Step 3: Cross multiply
    11,163x = 15,307 × 15,307
  4. Step 4: Simplify right side
    11,163x = 234,304,249
  5. Step 5: Solve for x
    x = 234,304,249/11,163
  6. Step 6: Final answer
    x = 20,989.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.