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Finding the Third Proportional to 11,102 and 18,497

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Solution

The third proportional to 11,102 and 18,497 is: 30,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102 : 18,497 = 18,497 : x
  2. Step 2: Convert to fraction form
    11,102/18,497 = 18,497/x
  3. Step 3: Cross multiply
    11,102x = 18,497 × 18,497
  4. Step 4: Simplify right side
    11,102x = 342,139,009
  5. Step 5: Solve for x
    x = 342,139,009/11,102
  6. Step 6: Final answer
    x = 30,817.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.