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Finding the Third Proportional to 33,435 and 72,867.75

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Solution

The third proportional to 33,435 and 72,867.75 is: 158,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435 : 72,867.75 = 72,867.75 : x
  2. Step 2: Convert to fraction form
    33,435/72,867.75 = 72,867.75/x
  3. Step 3: Cross multiply
    33,435x = 72,867.75 × 72,867.75
  4. Step 4: Simplify right side
    33,435x = 5,309,708,990.06
  5. Step 5: Solve for x
    x = 5,309,708,990.06/33,435
  6. Step 6: Final answer
    x = 158,806.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.