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Finding the Third Proportional to 37,382 and 81,644

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Solution

The third proportional to 37,382 and 81,644 is: 178,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382 : 81,644 = 81,644 : x
  2. Step 2: Convert to fraction form
    37,382/81,644 = 81,644/x
  3. Step 3: Cross multiply
    37,382x = 81,644 × 81,644
  4. Step 4: Simplify right side
    37,382x = 6,665,742,736
  5. Step 5: Solve for x
    x = 6,665,742,736/37,382
  6. Step 6: Final answer
    x = 178,314.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.