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Finding the Third Proportional to 37,336 and 81,944

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Solution

The third proportional to 37,336 and 81,944 is: 179,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,336 : 81,944 = 81,944 : x
  2. Step 2: Convert to fraction form
    37,336/81,944 = 81,944/x
  3. Step 3: Cross multiply
    37,336x = 81,944 × 81,944
  4. Step 4: Simplify right side
    37,336x = 6,714,819,136
  5. Step 5: Solve for x
    x = 6,714,819,136/37,336
  6. Step 6: Final answer
    x = 179,848.38

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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.