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Finding the Third Proportional to 34,661 and 49,567

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Solution

The third proportional to 34,661 and 49,567 is: 70,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661 : 49,567 = 49,567 : x
  2. Step 2: Convert to fraction form
    34,661/49,567 = 49,567/x
  3. Step 3: Cross multiply
    34,661x = 49,567 × 49,567
  4. Step 4: Simplify right side
    34,661x = 2,456,887,489
  5. Step 5: Solve for x
    x = 2,456,887,489/34,661
  6. Step 6: Final answer
    x = 70,883.34

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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.