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Finding the Third Proportional to 37,818 and 81,972

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Solution

The third proportional to 37,818 and 81,972 is: 177,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818 : 81,972 = 81,972 : x
  2. Step 2: Convert to fraction form
    37,818/81,972 = 81,972/x
  3. Step 3: Cross multiply
    37,818x = 81,972 × 81,972
  4. Step 4: Simplify right side
    37,818x = 6,719,408,784
  5. Step 5: Solve for x
    x = 6,719,408,784/37,818
  6. Step 6: Final answer
    x = 177,677.53

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Why These Related Problems?

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