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Finding the Third Proportional to 37,391 and 80,806

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Solution

The third proportional to 37,391 and 80,806 is: 174,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,391 : 80,806 = 80,806 : x
  2. Step 2: Convert to fraction form
    37,391/80,806 = 80,806/x
  3. Step 3: Cross multiply
    37,391x = 80,806 × 80,806
  4. Step 4: Simplify right side
    37,391x = 6,529,609,636
  5. Step 5: Solve for x
    x = 6,529,609,636/37,391
  6. Step 6: Final answer
    x = 174,630.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.