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Finding the Third Proportional to 37,708.03 and 78,025.78

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Solution

The third proportional to 37,708.03 and 78,025.78 is: 161,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,708.03 : 78,025.78 = 78,025.78 : x
  2. Step 2: Convert to fraction form
    37,708.03/78,025.78 = 78,025.78/x
  3. Step 3: Cross multiply
    37,708.03x = 78,025.78 × 78,025.78
  4. Step 4: Simplify right side
    37,708.03x = 6,088,022,539.67
  5. Step 5: Solve for x
    x = 6,088,022,539.67/37,708.03
  6. Step 6: Final answer
    x = 161,451.61

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