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Finding the Third Proportional to 37,251.56 and 80,810.63

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Solution

The third proportional to 37,251.56 and 80,810.63 is: 175,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,251.56 : 80,810.63 = 80,810.63 : x
  2. Step 2: Convert to fraction form
    37,251.56/80,810.63 = 80,810.63/x
  3. Step 3: Cross multiply
    37,251.56x = 80,810.63 × 80,810.63
  4. Step 4: Simplify right side
    37,251.56x = 6,530,357,112.89
  5. Step 5: Solve for x
    x = 6,530,357,112.89/37,251.56
  6. Step 6: Final answer
    x = 175,304.25

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