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Finding the Third Proportional to 27,091.13 and 36,910.69

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Solution

The third proportional to 27,091.13 and 36,910.69 is: 50,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,091.13 : 36,910.69 = 36,910.69 : x
  2. Step 2: Convert to fraction form
    27,091.13/36,910.69 = 36,910.69/x
  3. Step 3: Cross multiply
    27,091.13x = 36,910.69 × 36,910.69
  4. Step 4: Simplify right side
    27,091.13x = 1,362,398,851.72
  5. Step 5: Solve for x
    x = 1,362,398,851.72/27,091.13
  6. Step 6: Final answer
    x = 50,289.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.