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Finding the Third Proportional to 17,920.50 and 41,847.75

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Solution

The third proportional to 17,920.50 and 41,847.75 is: 97,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.50 : 41,847.75 = 41,847.75 : x
  2. Step 2: Convert to fraction form
    17,920.50/41,847.75 = 41,847.75/x
  3. Step 3: Cross multiply
    17,920.50x = 41,847.75 × 41,847.75
  4. Step 4: Simplify right side
    17,920.50x = 1,751,234,180.06
  5. Step 5: Solve for x
    x = 1,751,234,180.06/17,920.50
  6. Step 6: Final answer
    x = 97,722.40

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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.