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Finding the Third Proportional to 37,896 and 81,824

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Solution

The third proportional to 37,896 and 81,824 is: 176,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896 : 81,824 = 81,824 : x
  2. Step 2: Convert to fraction form
    37,896/81,824 = 81,824/x
  3. Step 3: Cross multiply
    37,896x = 81,824 × 81,824
  4. Step 4: Simplify right side
    37,896x = 6,695,166,976
  5. Step 5: Solve for x
    x = 6,695,166,976/37,896
  6. Step 6: Final answer
    x = 176,672.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.