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Finding the Third Proportional to 3,583 and 7,873

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Solution

The third proportional to 3,583 and 7,873 is: 17,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583 : 7,873 = 7,873 : x
  2. Step 2: Convert to fraction form
    3,583/7,873 = 7,873/x
  3. Step 3: Cross multiply
    3,583x = 7,873 × 7,873
  4. Step 4: Simplify right side
    3,583x = 61,984,129
  5. Step 5: Solve for x
    x = 61,984,129/3,583
  6. Step 6: Final answer
    x = 17,299.51

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