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Finding the Third Proportional to 33,941.25 and 74,573.25

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Solution

The third proportional to 33,941.25 and 74,573.25 is: 163,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,941.25 : 74,573.25 = 74,573.25 : x
  2. Step 2: Convert to fraction form
    33,941.25/74,573.25 = 74,573.25/x
  3. Step 3: Cross multiply
    33,941.25x = 74,573.25 × 74,573.25
  4. Step 4: Simplify right side
    33,941.25x = 5,561,169,615.56
  5. Step 5: Solve for x
    x = 5,561,169,615.56/33,941.25
  6. Step 6: Final answer
    x = 163,846.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.