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Finding the Third Proportional to 10,282 and 21,950

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Solution

The third proportional to 10,282 and 21,950 is: 46,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282 : 21,950 = 21,950 : x
  2. Step 2: Convert to fraction form
    10,282/21,950 = 21,950/x
  3. Step 3: Cross multiply
    10,282x = 21,950 × 21,950
  4. Step 4: Simplify right side
    10,282x = 481,802,500
  5. Step 5: Solve for x
    x = 481,802,500/10,282
  6. Step 6: Final answer
    x = 46,858.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.