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Finding the Third Proportional to 37,257.75 and 72,641.25

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Solution

The third proportional to 37,257.75 and 72,641.25 is: 141,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257.75 : 72,641.25 = 72,641.25 : x
  2. Step 2: Convert to fraction form
    37,257.75/72,641.25 = 72,641.25/x
  3. Step 3: Cross multiply
    37,257.75x = 72,641.25 × 72,641.25
  4. Step 4: Simplify right side
    37,257.75x = 5,276,751,201.56
  5. Step 5: Solve for x
    x = 5,276,751,201.56/37,257.75
  6. Step 6: Final answer
    x = 141,628.28

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.