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Finding the Third Proportional to 33,293.25 and 72,461.25

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Solution

The third proportional to 33,293.25 and 72,461.25 is: 157,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293.25 : 72,461.25 = 72,461.25 : x
  2. Step 2: Convert to fraction form
    33,293.25/72,461.25 = 72,461.25/x
  3. Step 3: Cross multiply
    33,293.25x = 72,461.25 × 72,461.25
  4. Step 4: Simplify right side
    33,293.25x = 5,250,632,751.56
  5. Step 5: Solve for x
    x = 5,250,632,751.56/33,293.25
  6. Step 6: Final answer
    x = 157,708.63

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