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Finding the Third Proportional to 37,725.75 and 55,512.21

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Solution

The third proportional to 37,725.75 and 55,512.21 is: 81,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 55,512.21 = 55,512.21 : x
  2. Step 2: Convert to fraction form
    37,725.75/55,512.21 = 55,512.21/x
  3. Step 3: Cross multiply
    37,725.75x = 55,512.21 × 55,512.21
  4. Step 4: Simplify right side
    37,725.75x = 3,081,605,563.17
  5. Step 5: Solve for x
    x = 3,081,605,563.17/37,725.75
  6. Step 6: Final answer
    x = 81,684.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.