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Finding the Third Proportional to 37,427.06 and 80,787.38

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Solution

The third proportional to 37,427.06 and 80,787.38 is: 174,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427.06 : 80,787.38 = 80,787.38 : x
  2. Step 2: Convert to fraction form
    37,427.06/80,787.38 = 80,787.38/x
  3. Step 3: Cross multiply
    37,427.06x = 80,787.38 × 80,787.38
  4. Step 4: Simplify right side
    37,427.06x = 6,526,599,959.39
  5. Step 5: Solve for x
    x = 6,526,599,959.39/37,427.06
  6. Step 6: Final answer
    x = 174,381.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.