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Finding the Third Proportional to 7,787 and 17,181

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Solution

The third proportional to 7,787 and 17,181 is: 37,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787 : 17,181 = 17,181 : x
  2. Step 2: Convert to fraction form
    7,787/17,181 = 17,181/x
  3. Step 3: Cross multiply
    7,787x = 17,181 × 17,181
  4. Step 4: Simplify right side
    7,787x = 295,186,761
  5. Step 5: Solve for x
    x = 295,186,761/7,787
  6. Step 6: Final answer
    x = 37,907.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.