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Finding the Third Proportional to 8,795 and 21,017

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Solution

The third proportional to 8,795 and 21,017 is: 50,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,795 : 21,017 = 21,017 : x
  2. Step 2: Convert to fraction form
    8,795/21,017 = 21,017/x
  3. Step 3: Cross multiply
    8,795x = 21,017 × 21,017
  4. Step 4: Simplify right side
    8,795x = 441,714,289
  5. Step 5: Solve for x
    x = 441,714,289/8,795
  6. Step 6: Final answer
    x = 50,223.34

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.