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Finding the Third Proportional to 37,091.67 and 76,812.05

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Solution

The third proportional to 37,091.67 and 76,812.05 is: 159,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091.67 : 76,812.05 = 76,812.05 : x
  2. Step 2: Convert to fraction form
    37,091.67/76,812.05 = 76,812.05/x
  3. Step 3: Cross multiply
    37,091.67x = 76,812.05 × 76,812.05
  4. Step 4: Simplify right side
    37,091.67x = 5,900,090,545.13
  5. Step 5: Solve for x
    x = 5,900,090,545.13/37,091.67
  6. Step 6: Final answer
    x = 159,067.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.