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Finding the Third Proportional to 37,396 and 81,832

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Solution

The third proportional to 37,396 and 81,832 is: 179,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,396 : 81,832 = 81,832 : x
  2. Step 2: Convert to fraction form
    37,396/81,832 = 81,832/x
  3. Step 3: Cross multiply
    37,396x = 81,832 × 81,832
  4. Step 4: Simplify right side
    37,396x = 6,696,476,224
  5. Step 5: Solve for x
    x = 6,696,476,224/37,396
  6. Step 6: Final answer
    x = 179,069.32

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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.