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Finding the Third Proportional to 49,635 and 74,907

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Solution

The third proportional to 49,635 and 74,907 is: 113,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,635 : 74,907 = 74,907 : x
  2. Step 2: Convert to fraction form
    49,635/74,907 = 74,907/x
  3. Step 3: Cross multiply
    49,635x = 74,907 × 74,907
  4. Step 4: Simplify right side
    49,635x = 5,611,058,649
  5. Step 5: Solve for x
    x = 5,611,058,649/49,635
  6. Step 6: Final answer
    x = 113,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.