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Finding the Third Proportional to 24,400 and 49,664

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Solution

The third proportional to 24,400 and 49,664 is: 101,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400 : 49,664 = 49,664 : x
  2. Step 2: Convert to fraction form
    24,400/49,664 = 49,664/x
  3. Step 3: Cross multiply
    24,400x = 49,664 × 49,664
  4. Step 4: Simplify right side
    24,400x = 2,466,512,896
  5. Step 5: Solve for x
    x = 2,466,512,896/24,400
  6. Step 6: Final answer
    x = 101,086.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.