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Finding the Third Proportional to 11,009 and 18,701

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Solution

The third proportional to 11,009 and 18,701 is: 31,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009 : 18,701 = 18,701 : x
  2. Step 2: Convert to fraction form
    11,009/18,701 = 18,701/x
  3. Step 3: Cross multiply
    11,009x = 18,701 × 18,701
  4. Step 4: Simplify right side
    11,009x = 349,727,401
  5. Step 5: Solve for x
    x = 349,727,401/11,009
  6. Step 6: Final answer
    x = 31,767.41

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.