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Finding the Third Proportional to 36,864 and 49,664

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Solution

The third proportional to 36,864 and 49,664 is: 66,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 49,664 = 49,664 : x
  2. Step 2: Convert to fraction form
    36,864/49,664 = 49,664/x
  3. Step 3: Cross multiply
    36,864x = 49,664 × 49,664
  4. Step 4: Simplify right side
    36,864x = 2,466,512,896
  5. Step 5: Solve for x
    x = 2,466,512,896/36,864
  6. Step 6: Final answer
    x = 66,908.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.