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Finding the Third Proportional to 33,907 and 49,321

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Solution

The third proportional to 33,907 and 49,321 is: 71,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907 : 49,321 = 49,321 : x
  2. Step 2: Convert to fraction form
    33,907/49,321 = 49,321/x
  3. Step 3: Cross multiply
    33,907x = 49,321 × 49,321
  4. Step 4: Simplify right side
    33,907x = 2,432,561,041
  5. Step 5: Solve for x
    x = 2,432,561,041/33,907
  6. Step 6: Final answer
    x = 71,742.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.