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Finding the Third Proportional to 22,966 and 34,907

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Solution

The third proportional to 22,966 and 34,907 is: 53,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966 : 34,907 = 34,907 : x
  2. Step 2: Convert to fraction form
    22,966/34,907 = 34,907/x
  3. Step 3: Cross multiply
    22,966x = 34,907 × 34,907
  4. Step 4: Simplify right side
    22,966x = 1,218,498,649
  5. Step 5: Solve for x
    x = 1,218,498,649/22,966
  6. Step 6: Final answer
    x = 53,056.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.