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Finding the Third Proportional to 37,470 and 81,805

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Solution

The third proportional to 37,470 and 81,805 is: 178,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470 : 81,805 = 81,805 : x
  2. Step 2: Convert to fraction form
    37,470/81,805 = 81,805/x
  3. Step 3: Cross multiply
    37,470x = 81,805 × 81,805
  4. Step 4: Simplify right side
    37,470x = 6,692,058,025
  5. Step 5: Solve for x
    x = 6,692,058,025/37,470
  6. Step 6: Final answer
    x = 178,597.76

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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.