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Finding the Third Proportional to 37,384.03 and 86,694.05

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Solution

The third proportional to 37,384.03 and 86,694.05 is: 201,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384.03 : 86,694.05 = 86,694.05 : x
  2. Step 2: Convert to fraction form
    37,384.03/86,694.05 = 86,694.05/x
  3. Step 3: Cross multiply
    37,384.03x = 86,694.05 × 86,694.05
  4. Step 4: Simplify right side
    37,384.03x = 7,515,857,763.56
  5. Step 5: Solve for x
    x = 7,515,857,763.56/37,384.03
  6. Step 6: Final answer
    x = 201,044.60

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.