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Finding the Third Proportional to 17,563.50 and 41,451.75

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Solution

The third proportional to 17,563.50 and 41,451.75 is: 97,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.50 : 41,451.75 = 41,451.75 : x
  2. Step 2: Convert to fraction form
    17,563.50/41,451.75 = 41,451.75/x
  3. Step 3: Cross multiply
    17,563.50x = 41,451.75 × 41,451.75
  4. Step 4: Simplify right side
    17,563.50x = 1,718,247,578.06
  5. Step 5: Solve for x
    x = 1,718,247,578.06/17,563.50
  6. Step 6: Final answer
    x = 97,830.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.