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Finding the Third Proportional to 36,174 and 49,806

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Solution

The third proportional to 36,174 and 49,806 is: 68,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,174 : 49,806 = 49,806 : x
  2. Step 2: Convert to fraction form
    36,174/49,806 = 49,806/x
  3. Step 3: Cross multiply
    36,174x = 49,806 × 49,806
  4. Step 4: Simplify right side
    36,174x = 2,480,637,636
  5. Step 5: Solve for x
    x = 2,480,637,636/36,174
  6. Step 6: Final answer
    x = 68,575.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.