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Finding the Third Proportional to 33,263.75 and 73,909.75

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Solution

The third proportional to 33,263.75 and 73,909.75 is: 164,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263.75 : 73,909.75 = 73,909.75 : x
  2. Step 2: Convert to fraction form
    33,263.75/73,909.75 = 73,909.75/x
  3. Step 3: Cross multiply
    33,263.75x = 73,909.75 × 73,909.75
  4. Step 4: Simplify right side
    33,263.75x = 5,462,651,145.06
  5. Step 5: Solve for x
    x = 5,462,651,145.06/33,263.75
  6. Step 6: Final answer
    x = 164,222.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.