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Finding the Third Proportional to 37,600.45 and 81,815.91

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Solution

The third proportional to 37,600.45 and 81,815.91 is: 178,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600.45 : 81,815.91 = 81,815.91 : x
  2. Step 2: Convert to fraction form
    37,600.45/81,815.91 = 81,815.91/x
  3. Step 3: Cross multiply
    37,600.45x = 81,815.91 × 81,815.91
  4. Step 4: Simplify right side
    37,600.45x = 6,693,842,515.51
  5. Step 5: Solve for x
    x = 6,693,842,515.51/37,600.45
  6. Step 6: Final answer
    x = 178,025.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.