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Finding the Third Proportional to 36,989.16 and 57,963.09

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Solution

The third proportional to 36,989.16 and 57,963.09 is: 90,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,989.16 : 57,963.09 = 57,963.09 : x
  2. Step 2: Convert to fraction form
    36,989.16/57,963.09 = 57,963.09/x
  3. Step 3: Cross multiply
    36,989.16x = 57,963.09 × 57,963.09
  4. Step 4: Simplify right side
    36,989.16x = 3,359,720,237.07
  5. Step 5: Solve for x
    x = 3,359,720,237.07/36,989.16
  6. Step 6: Final answer
    x = 90,829.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.