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Finding the Third Proportional to 39,831.75 and 87,054.75

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Solution

The third proportional to 39,831.75 and 87,054.75 is: 190,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,831.75 : 87,054.75 = 87,054.75 : x
  2. Step 2: Convert to fraction form
    39,831.75/87,054.75 = 87,054.75/x
  3. Step 3: Cross multiply
    39,831.75x = 87,054.75 × 87,054.75
  4. Step 4: Simplify right side
    39,831.75x = 7,578,529,497.56
  5. Step 5: Solve for x
    x = 7,578,529,497.56/39,831.75
  6. Step 6: Final answer
    x = 190,263.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.