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Finding the Third Proportional to 36,855 and 55,215

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Solution

The third proportional to 36,855 and 55,215 is: 82,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,855 : 55,215 = 55,215 : x
  2. Step 2: Convert to fraction form
    36,855/55,215 = 55,215/x
  3. Step 3: Cross multiply
    36,855x = 55,215 × 55,215
  4. Step 4: Simplify right side
    36,855x = 3,048,696,225
  5. Step 5: Solve for x
    x = 3,048,696,225/36,855
  6. Step 6: Final answer
    x = 82,721.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.