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Finding the Third Proportional to 37,824 and 81,344

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Solution

The third proportional to 37,824 and 81,344 is: 174,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,824 : 81,344 = 81,344 : x
  2. Step 2: Convert to fraction form
    37,824/81,344 = 81,344/x
  3. Step 3: Cross multiply
    37,824x = 81,344 × 81,344
  4. Step 4: Simplify right side
    37,824x = 6,616,846,336
  5. Step 5: Solve for x
    x = 6,616,846,336/37,824
  6. Step 6: Final answer
    x = 174,937.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.