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Finding the Third Proportional to 26,563.50 and 57,225

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Solution

The third proportional to 26,563.50 and 57,225 is: 123,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.50 : 57,225 = 57,225 : x
  2. Step 2: Convert to fraction form
    26,563.50/57,225 = 57,225/x
  3. Step 3: Cross multiply
    26,563.50x = 57,225 × 57,225
  4. Step 4: Simplify right side
    26,563.50x = 3,274,700,625
  5. Step 5: Solve for x
    x = 3,274,700,625/26,563.50
  6. Step 6: Final answer
    x = 123,278.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.