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Finding the Third Proportional to 37,239.75 and 87,833.25

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Solution

The third proportional to 37,239.75 and 87,833.25 is: 207,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,239.75 : 87,833.25 = 87,833.25 : x
  2. Step 2: Convert to fraction form
    37,239.75/87,833.25 = 87,833.25/x
  3. Step 3: Cross multiply
    37,239.75x = 87,833.25 × 87,833.25
  4. Step 4: Simplify right side
    37,239.75x = 7,714,679,805.56
  5. Step 5: Solve for x
    x = 7,714,679,805.56/37,239.75
  6. Step 6: Final answer
    x = 207,162.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.