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Finding the Third Proportional to 24,896 and 50,496

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Solution

The third proportional to 24,896 and 50,496 is: 102,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896 : 50,496 = 50,496 : x
  2. Step 2: Convert to fraction form
    24,896/50,496 = 50,496/x
  3. Step 3: Cross multiply
    24,896x = 50,496 × 50,496
  4. Step 4: Simplify right side
    24,896x = 2,549,846,016
  5. Step 5: Solve for x
    x = 2,549,846,016/24,896
  6. Step 6: Final answer
    x = 102,419.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.