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Finding the Third Proportional to 37,433.25 and 81,900

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Solution

The third proportional to 37,433.25 and 81,900 is: 179,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,433.25 : 81,900 = 81,900 : x
  2. Step 2: Convert to fraction form
    37,433.25/81,900 = 81,900/x
  3. Step 3: Cross multiply
    37,433.25x = 81,900 × 81,900
  4. Step 4: Simplify right side
    37,433.25x = 6,707,610,000
  5. Step 5: Solve for x
    x = 6,707,610,000/37,433.25
  6. Step 6: Final answer
    x = 179,188.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.