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Finding the Third Proportional to 18,934.75 and 41,004

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Solution

The third proportional to 18,934.75 and 41,004 is: 88,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,934.75 : 41,004 = 41,004 : x
  2. Step 2: Convert to fraction form
    18,934.75/41,004 = 41,004/x
  3. Step 3: Cross multiply
    18,934.75x = 41,004 × 41,004
  4. Step 4: Simplify right side
    18,934.75x = 1,681,328,016
  5. Step 5: Solve for x
    x = 1,681,328,016/18,934.75
  6. Step 6: Final answer
    x = 88,795.89

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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.