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Finding the Third Proportional to 37,386 and 81,738

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Solution

The third proportional to 37,386 and 81,738 is: 178,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386 : 81,738 = 81,738 : x
  2. Step 2: Convert to fraction form
    37,386/81,738 = 81,738/x
  3. Step 3: Cross multiply
    37,386x = 81,738 × 81,738
  4. Step 4: Simplify right side
    37,386x = 6,681,100,644
  5. Step 5: Solve for x
    x = 6,681,100,644/37,386
  6. Step 6: Final answer
    x = 178,705.95

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Why These Related Problems?

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