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Finding the Third Proportional to 36,825.50 and 57,608

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Solution

The third proportional to 36,825.50 and 57,608 is: 90,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825.50 : 57,608 = 57,608 : x
  2. Step 2: Convert to fraction form
    36,825.50/57,608 = 57,608/x
  3. Step 3: Cross multiply
    36,825.50x = 57,608 × 57,608
  4. Step 4: Simplify right side
    36,825.50x = 3,318,681,664
  5. Step 5: Solve for x
    x = 3,318,681,664/36,825.50
  6. Step 6: Final answer
    x = 90,119.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.