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Finding the Third Proportional to 33,247 and 49,877

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Solution

The third proportional to 33,247 and 49,877 is: 74,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247 : 49,877 = 49,877 : x
  2. Step 2: Convert to fraction form
    33,247/49,877 = 49,877/x
  3. Step 3: Cross multiply
    33,247x = 49,877 × 49,877
  4. Step 4: Simplify right side
    33,247x = 2,487,715,129
  5. Step 5: Solve for x
    x = 2,487,715,129/33,247
  6. Step 6: Final answer
    x = 74,825.25

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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.