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Finding the Third Proportional to 37,682.75 and 59,983.50

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Solution

The third proportional to 37,682.75 and 59,983.50 is: 95,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.75 : 59,983.50 = 59,983.50 : x
  2. Step 2: Convert to fraction form
    37,682.75/59,983.50 = 59,983.50/x
  3. Step 3: Cross multiply
    37,682.75x = 59,983.50 × 59,983.50
  4. Step 4: Simplify right side
    37,682.75x = 3,598,020,272.25
  5. Step 5: Solve for x
    x = 3,598,020,272.25/37,682.75
  6. Step 6: Final answer
    x = 95,481.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.