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Finding the Third Proportional to 20,009 and 49,496

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Solution

The third proportional to 20,009 and 49,496 is: 122,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 49,496 = 49,496 : x
  2. Step 2: Convert to fraction form
    20,009/49,496 = 49,496/x
  3. Step 3: Cross multiply
    20,009x = 49,496 × 49,496
  4. Step 4: Simplify right side
    20,009x = 2,449,854,016
  5. Step 5: Solve for x
    x = 2,449,854,016/20,009
  6. Step 6: Final answer
    x = 122,437.60

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.