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Finding the Third Proportional to 36,085.50 and 57,039.19

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Solution

The third proportional to 36,085.50 and 57,039.19 is: 90,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.50 : 57,039.19 = 57,039.19 : x
  2. Step 2: Convert to fraction form
    36,085.50/57,039.19 = 57,039.19/x
  3. Step 3: Cross multiply
    36,085.50x = 57,039.19 × 57,039.19
  4. Step 4: Simplify right side
    36,085.50x = 3,253,468,910.66
  5. Step 5: Solve for x
    x = 3,253,468,910.66/36,085.50
  6. Step 6: Final answer
    x = 90,160.01

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.