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Finding the Third Proportional to 38,993.50 and 79,831.50

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Solution

The third proportional to 38,993.50 and 79,831.50 is: 163,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,993.50 : 79,831.50 = 79,831.50 : x
  2. Step 2: Convert to fraction form
    38,993.50/79,831.50 = 79,831.50/x
  3. Step 3: Cross multiply
    38,993.50x = 79,831.50 × 79,831.50
  4. Step 4: Simplify right side
    38,993.50x = 6,373,068,392.25
  5. Step 5: Solve for x
    x = 6,373,068,392.25/38,993.50
  6. Step 6: Final answer
    x = 163,439.25

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.