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Finding the Third Proportional to 36,167 and 55,293

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Solution

The third proportional to 36,167 and 55,293 is: 84,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,167 : 55,293 = 55,293 : x
  2. Step 2: Convert to fraction form
    36,167/55,293 = 55,293/x
  3. Step 3: Cross multiply
    36,167x = 55,293 × 55,293
  4. Step 4: Simplify right side
    36,167x = 3,057,315,849
  5. Step 5: Solve for x
    x = 3,057,315,849/36,167
  6. Step 6: Final answer
    x = 84,533.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.