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Finding the Third Proportional to 33,564 and 49,372

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Solution

The third proportional to 33,564 and 49,372 is: 72,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 49,372 = 49,372 : x
  2. Step 2: Convert to fraction form
    33,564/49,372 = 49,372/x
  3. Step 3: Cross multiply
    33,564x = 49,372 × 49,372
  4. Step 4: Simplify right side
    33,564x = 2,437,594,384
  5. Step 5: Solve for x
    x = 2,437,594,384/33,564
  6. Step 6: Final answer
    x = 72,625.26

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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.