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Finding the Third Proportional to 49,674 and 74,907

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Solution

The third proportional to 49,674 and 74,907 is: 112,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674 : 74,907 = 74,907 : x
  2. Step 2: Convert to fraction form
    49,674/74,907 = 74,907/x
  3. Step 3: Cross multiply
    49,674x = 74,907 × 74,907
  4. Step 4: Simplify right side
    49,674x = 5,611,058,649
  5. Step 5: Solve for x
    x = 5,611,058,649/49,674
  6. Step 6: Final answer
    x = 112,957.66

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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.