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Finding the Third Proportional to 37,282.78 and 76,752.56

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Solution

The third proportional to 37,282.78 and 76,752.56 is: 158,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282.78 : 76,752.56 = 76,752.56 : x
  2. Step 2: Convert to fraction form
    37,282.78/76,752.56 = 76,752.56/x
  3. Step 3: Cross multiply
    37,282.78x = 76,752.56 × 76,752.56
  4. Step 4: Simplify right side
    37,282.78x = 5,890,955,850.32
  5. Step 5: Solve for x
    x = 5,890,955,850.32/37,282.78
  6. Step 6: Final answer
    x = 158,007.41

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.