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Finding the Third Proportional to 34,684 and 49,561

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Solution

The third proportional to 34,684 and 49,561 is: 70,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684 : 49,561 = 49,561 : x
  2. Step 2: Convert to fraction form
    34,684/49,561 = 49,561/x
  3. Step 3: Cross multiply
    34,684x = 49,561 × 49,561
  4. Step 4: Simplify right side
    34,684x = 2,456,292,721
  5. Step 5: Solve for x
    x = 2,456,292,721/34,684
  6. Step 6: Final answer
    x = 70,819.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.