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Finding the Third Proportional to 36,021.19 and 57,876.19

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Solution

The third proportional to 36,021.19 and 57,876.19 is: 92,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021.19 : 57,876.19 = 57,876.19 : x
  2. Step 2: Convert to fraction form
    36,021.19/57,876.19 = 57,876.19/x
  3. Step 3: Cross multiply
    36,021.19x = 57,876.19 × 57,876.19
  4. Step 4: Simplify right side
    36,021.19x = 3,349,653,079.54
  5. Step 5: Solve for x
    x = 3,349,653,079.54/36,021.19
  6. Step 6: Final answer
    x = 92,991.19

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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.