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Finding the Third Proportional to 7,982 and 17,595

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Solution

The third proportional to 7,982 and 17,595 is: 38,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982 : 17,595 = 17,595 : x
  2. Step 2: Convert to fraction form
    7,982/17,595 = 17,595/x
  3. Step 3: Cross multiply
    7,982x = 17,595 × 17,595
  4. Step 4: Simplify right side
    7,982x = 309,584,025
  5. Step 5: Solve for x
    x = 309,584,025/7,982
  6. Step 6: Final answer
    x = 38,785.27

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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.