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Finding the Third Proportional to 33,214.75 and 49,349

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Solution

The third proportional to 33,214.75 and 49,349 is: 73,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.75 : 49,349 = 49,349 : x
  2. Step 2: Convert to fraction form
    33,214.75/49,349 = 49,349/x
  3. Step 3: Cross multiply
    33,214.75x = 49,349 × 49,349
  4. Step 4: Simplify right side
    33,214.75x = 2,435,323,801
  5. Step 5: Solve for x
    x = 2,435,323,801/33,214.75
  6. Step 6: Final answer
    x = 73,320.55

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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.