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Finding the Third Proportional to 33,486 and 49,299

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Solution

The third proportional to 33,486 and 49,299 is: 72,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,486 : 49,299 = 49,299 : x
  2. Step 2: Convert to fraction form
    33,486/49,299 = 49,299/x
  3. Step 3: Cross multiply
    33,486x = 49,299 × 49,299
  4. Step 4: Simplify right side
    33,486x = 2,430,391,401
  5. Step 5: Solve for x
    x = 2,430,391,401/33,486
  6. Step 6: Final answer
    x = 72,579.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.