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Finding the Third Proportional to 8,091 and 17,829

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Solution

The third proportional to 8,091 and 17,829 is: 39,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 17,829 = 17,829 : x
  2. Step 2: Convert to fraction form
    8,091/17,829 = 17,829/x
  3. Step 3: Cross multiply
    8,091x = 17,829 × 17,829
  4. Step 4: Simplify right side
    8,091x = 317,873,241
  5. Step 5: Solve for x
    x = 317,873,241/8,091
  6. Step 6: Final answer
    x = 39,287.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.