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Finding the Third Proportional to 36,806 and 58,306

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Solution

The third proportional to 36,806 and 58,306 is: 92,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806 : 58,306 = 58,306 : x
  2. Step 2: Convert to fraction form
    36,806/58,306 = 58,306/x
  3. Step 3: Cross multiply
    36,806x = 58,306 × 58,306
  4. Step 4: Simplify right side
    36,806x = 3,399,589,636
  5. Step 5: Solve for x
    x = 3,399,589,636/36,806
  6. Step 6: Final answer
    x = 92,365.09

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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.