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Finding the Third Proportional to 37,786.92 and 57,105.63

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Solution

The third proportional to 37,786.92 and 57,105.63 is: 86,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786.92 : 57,105.63 = 57,105.63 : x
  2. Step 2: Convert to fraction form
    37,786.92/57,105.63 = 57,105.63/x
  3. Step 3: Cross multiply
    37,786.92x = 57,105.63 × 57,105.63
  4. Step 4: Simplify right side
    37,786.92x = 3,261,053,298.92
  5. Step 5: Solve for x
    x = 3,261,053,298.92/37,786.92
  6. Step 6: Final answer
    x = 86,301.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.