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Finding the Third Proportional to 17,773.50 and 23,850

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Solution

The third proportional to 17,773.50 and 23,850 is: 32,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773.50 : 23,850 = 23,850 : x
  2. Step 2: Convert to fraction form
    17,773.50/23,850 = 23,850/x
  3. Step 3: Cross multiply
    17,773.50x = 23,850 × 23,850
  4. Step 4: Simplify right side
    17,773.50x = 568,822,500
  5. Step 5: Solve for x
    x = 568,822,500/17,773.50
  6. Step 6: Final answer
    x = 32,003.97

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.