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Finding the Third Proportional to 7,782 and 17,601

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Solution

The third proportional to 7,782 and 17,601 is: 39,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 17,601 = 17,601 : x
  2. Step 2: Convert to fraction form
    7,782/17,601 = 17,601/x
  3. Step 3: Cross multiply
    7,782x = 17,601 × 17,601
  4. Step 4: Simplify right side
    7,782x = 309,795,201
  5. Step 5: Solve for x
    x = 309,795,201/7,782
  6. Step 6: Final answer
    x = 39,809.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.