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Finding the Third Proportional to 33,226 and 49,363

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Solution

The third proportional to 33,226 and 49,363 is: 73,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,226 : 49,363 = 49,363 : x
  2. Step 2: Convert to fraction form
    33,226/49,363 = 49,363/x
  3. Step 3: Cross multiply
    33,226x = 49,363 × 49,363
  4. Step 4: Simplify right side
    33,226x = 2,436,705,769
  5. Step 5: Solve for x
    x = 2,436,705,769/33,226
  6. Step 6: Final answer
    x = 73,337.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.