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Finding the Third Proportional to 37,838.50 and 81,110

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Solution

The third proportional to 37,838.50 and 81,110 is: 173,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.50 : 81,110 = 81,110 : x
  2. Step 2: Convert to fraction form
    37,838.50/81,110 = 81,110/x
  3. Step 3: Cross multiply
    37,838.50x = 81,110 × 81,110
  4. Step 4: Simplify right side
    37,838.50x = 6,578,832,100
  5. Step 5: Solve for x
    x = 6,578,832,100/37,838.50
  6. Step 6: Final answer
    x = 173,866.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.