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Finding the Third Proportional to 18,864 and 41,004

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Solution

The third proportional to 18,864 and 41,004 is: 89,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864 : 41,004 = 41,004 : x
  2. Step 2: Convert to fraction form
    18,864/41,004 = 41,004/x
  3. Step 3: Cross multiply
    18,864x = 41,004 × 41,004
  4. Step 4: Simplify right side
    18,864x = 1,681,328,016
  5. Step 5: Solve for x
    x = 1,681,328,016/18,864
  6. Step 6: Final answer
    x = 89,128.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.