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Finding the Third Proportional to 33,393.75 and 78,831.75

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Solution

The third proportional to 33,393.75 and 78,831.75 is: 186,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,393.75 : 78,831.75 = 78,831.75 : x
  2. Step 2: Convert to fraction form
    33,393.75/78,831.75 = 78,831.75/x
  3. Step 3: Cross multiply
    33,393.75x = 78,831.75 × 78,831.75
  4. Step 4: Simplify right side
    33,393.75x = 6,214,444,808.06
  5. Step 5: Solve for x
    x = 6,214,444,808.06/33,393.75
  6. Step 6: Final answer
    x = 186,096.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.