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Finding the Third Proportional to 37,550.25 and 87,314.63

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Solution

The third proportional to 37,550.25 and 87,314.63 is: 203,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550.25 : 87,314.63 = 87,314.63 : x
  2. Step 2: Convert to fraction form
    37,550.25/87,314.63 = 87,314.63/x
  3. Step 3: Cross multiply
    37,550.25x = 87,314.63 × 87,314.63
  4. Step 4: Simplify right side
    37,550.25x = 7,623,843,738.89
  5. Step 5: Solve for x
    x = 7,623,843,738.89/37,550.25
  6. Step 6: Final answer
    x = 203,030.44

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.