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Finding the Third Proportional to 37,639.13 and 81,840.38

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Solution

The third proportional to 37,639.13 and 81,840.38 is: 177,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,639.13 : 81,840.38 = 81,840.38 : x
  2. Step 2: Convert to fraction form
    37,639.13/81,840.38 = 81,840.38/x
  3. Step 3: Cross multiply
    37,639.13x = 81,840.38 × 81,840.38
  4. Step 4: Simplify right side
    37,639.13x = 6,697,846,980.14
  5. Step 5: Solve for x
    x = 6,697,846,980.14/37,639.13
  6. Step 6: Final answer
    x = 177,949.06

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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.