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Finding the Third Proportional to 36,022.50 and 57,877.88

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Solution

The third proportional to 36,022.50 and 57,877.88 is: 92,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.50 : 57,877.88 = 57,877.88 : x
  2. Step 2: Convert to fraction form
    36,022.50/57,877.88 = 57,877.88/x
  3. Step 3: Cross multiply
    36,022.50x = 57,877.88 × 57,877.88
  4. Step 4: Simplify right side
    36,022.50x = 3,349,848,414.52
  5. Step 5: Solve for x
    x = 3,349,848,414.52/36,022.50
  6. Step 6: Final answer
    x = 92,993.22

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.