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Finding the Third Proportional to 24,997.50 and 52,805.25

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Solution

The third proportional to 24,997.50 and 52,805.25 is: 111,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,997.50 : 52,805.25 = 52,805.25 : x
  2. Step 2: Convert to fraction form
    24,997.50/52,805.25 = 52,805.25/x
  3. Step 3: Cross multiply
    24,997.50x = 52,805.25 × 52,805.25
  4. Step 4: Simplify right side
    24,997.50x = 2,788,394,427.56
  5. Step 5: Solve for x
    x = 2,788,394,427.56/24,997.50
  6. Step 6: Final answer
    x = 111,546.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.