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Finding the Third Proportional to 17,772.75 and 41,144.63

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Solution

The third proportional to 17,772.75 and 41,144.63 is: 95,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.75 : 41,144.63 = 41,144.63 : x
  2. Step 2: Convert to fraction form
    17,772.75/41,144.63 = 41,144.63/x
  3. Step 3: Cross multiply
    17,772.75x = 41,144.63 × 41,144.63
  4. Step 4: Simplify right side
    17,772.75x = 1,692,880,166.39
  5. Step 5: Solve for x
    x = 1,692,880,166.39/17,772.75
  6. Step 6: Final answer
    x = 95,251.45

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.