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Finding the Third Proportional to 36,795 and 58,293

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Solution

The third proportional to 36,795 and 58,293 is: 92,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,795 : 58,293 = 58,293 : x
  2. Step 2: Convert to fraction form
    36,795/58,293 = 58,293/x
  3. Step 3: Cross multiply
    36,795x = 58,293 × 58,293
  4. Step 4: Simplify right side
    36,795x = 3,398,073,849
  5. Step 5: Solve for x
    x = 3,398,073,849/36,795
  6. Step 6: Final answer
    x = 92,351.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.