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Finding the Third Proportional to 33,521 and 49,355

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Solution

The third proportional to 33,521 and 49,355 is: 72,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521 : 49,355 = 49,355 : x
  2. Step 2: Convert to fraction form
    33,521/49,355 = 49,355/x
  3. Step 3: Cross multiply
    33,521x = 49,355 × 49,355
  4. Step 4: Simplify right side
    33,521x = 2,435,916,025
  5. Step 5: Solve for x
    x = 2,435,916,025/33,521
  6. Step 6: Final answer
    x = 72,668.36

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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.