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Finding the Third Proportional to 33,731.25 and 74,251.50

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Solution

The third proportional to 33,731.25 and 74,251.50 is: 163,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,731.25 : 74,251.50 = 74,251.50 : x
  2. Step 2: Convert to fraction form
    33,731.25/74,251.50 = 74,251.50/x
  3. Step 3: Cross multiply
    33,731.25x = 74,251.50 × 74,251.50
  4. Step 4: Simplify right side
    33,731.25x = 5,513,285,252.25
  5. Step 5: Solve for x
    x = 5,513,285,252.25/33,731.25
  6. Step 6: Final answer
    x = 163,447.40

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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.