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Finding the Third Proportional to 21,966 and 48,844

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Solution

The third proportional to 21,966 and 48,844 is: 108,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966 : 48,844 = 48,844 : x
  2. Step 2: Convert to fraction form
    21,966/48,844 = 48,844/x
  3. Step 3: Cross multiply
    21,966x = 48,844 × 48,844
  4. Step 4: Simplify right side
    21,966x = 2,385,736,336
  5. Step 5: Solve for x
    x = 2,385,736,336/21,966
  6. Step 6: Final answer
    x = 108,610.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.