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Finding the Third Proportional to 36,902.25 and 57,297.38

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Solution

The third proportional to 36,902.25 and 57,297.38 is: 88,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.25 : 57,297.38 = 57,297.38 : x
  2. Step 2: Convert to fraction form
    36,902.25/57,297.38 = 57,297.38/x
  3. Step 3: Cross multiply
    36,902.25x = 57,297.38 × 57,297.38
  4. Step 4: Simplify right side
    36,902.25x = 3,282,989,181.89
  5. Step 5: Solve for x
    x = 3,282,989,181.89/36,902.25
  6. Step 6: Final answer
    x = 88,964.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.