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Finding the Third Proportional to 13,907 and 30,450

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Solution

The third proportional to 13,907 and 30,450 is: 66,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907 : 30,450 = 30,450 : x
  2. Step 2: Convert to fraction form
    13,907/30,450 = 30,450/x
  3. Step 3: Cross multiply
    13,907x = 30,450 × 30,450
  4. Step 4: Simplify right side
    13,907x = 927,202,500
  5. Step 5: Solve for x
    x = 927,202,500/13,907
  6. Step 6: Final answer
    x = 66,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.