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Finding the Third Proportional to 17,799 and 41,581.50

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Solution

The third proportional to 17,799 and 41,581.50 is: 97,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,799 : 41,581.50 = 41,581.50 : x
  2. Step 2: Convert to fraction form
    17,799/41,581.50 = 41,581.50/x
  3. Step 3: Cross multiply
    17,799x = 41,581.50 × 41,581.50
  4. Step 4: Simplify right side
    17,799x = 1,729,021,142.25
  5. Step 5: Solve for x
    x = 1,729,021,142.25/17,799
  6. Step 6: Final answer
    x = 97,141.48

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.