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Finding the Third Proportional to 37,362.94 and 80,831.25

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Solution

The third proportional to 37,362.94 and 80,831.25 is: 174,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,362.94 : 80,831.25 = 80,831.25 : x
  2. Step 2: Convert to fraction form
    37,362.94/80,831.25 = 80,831.25/x
  3. Step 3: Cross multiply
    37,362.94x = 80,831.25 × 80,831.25
  4. Step 4: Simplify right side
    37,362.94x = 6,533,690,976.56
  5. Step 5: Solve for x
    x = 6,533,690,976.56/37,362.94
  6. Step 6: Final answer
    x = 174,870.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.