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Finding the Third Proportional to 33,421 and 49,968

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Solution

The third proportional to 33,421 and 49,968 is: 74,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421 : 49,968 = 49,968 : x
  2. Step 2: Convert to fraction form
    33,421/49,968 = 49,968/x
  3. Step 3: Cross multiply
    33,421x = 49,968 × 49,968
  4. Step 4: Simplify right side
    33,421x = 2,496,801,024
  5. Step 5: Solve for x
    x = 2,496,801,024/33,421
  6. Step 6: Final answer
    x = 74,707.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.