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Finding the Third Proportional to 21,805 and 48,544

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Solution

The third proportional to 21,805 and 48,544 is: 108,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805 : 48,544 = 48,544 : x
  2. Step 2: Convert to fraction form
    21,805/48,544 = 48,544/x
  3. Step 3: Cross multiply
    21,805x = 48,544 × 48,544
  4. Step 4: Simplify right side
    21,805x = 2,356,519,936
  5. Step 5: Solve for x
    x = 2,356,519,936/21,805
  6. Step 6: Final answer
    x = 108,072.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.