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Finding the Third Proportional to 9,788 and 21,817

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Solution

The third proportional to 9,788 and 21,817 is: 48,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788 : 21,817 = 21,817 : x
  2. Step 2: Convert to fraction form
    9,788/21,817 = 21,817/x
  3. Step 3: Cross multiply
    9,788x = 21,817 × 21,817
  4. Step 4: Simplify right side
    9,788x = 475,981,489
  5. Step 5: Solve for x
    x = 475,981,489/9,788
  6. Step 6: Final answer
    x = 48,629.09

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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.