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Finding the Third Proportional to 37,539.75 and 81,569.25

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Solution

The third proportional to 37,539.75 and 81,569.25 is: 177,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539.75 : 81,569.25 = 81,569.25 : x
  2. Step 2: Convert to fraction form
    37,539.75/81,569.25 = 81,569.25/x
  3. Step 3: Cross multiply
    37,539.75x = 81,569.25 × 81,569.25
  4. Step 4: Simplify right side
    37,539.75x = 6,653,542,545.56
  5. Step 5: Solve for x
    x = 6,653,542,545.56/37,539.75
  6. Step 6: Final answer
    x = 177,239.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.