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Finding the Third Proportional to 5,698 and 11,971

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Solution

The third proportional to 5,698 and 11,971 is: 25,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 11,971 = 11,971 : x
  2. Step 2: Convert to fraction form
    5,698/11,971 = 11,971/x
  3. Step 3: Cross multiply
    5,698x = 11,971 × 11,971
  4. Step 4: Simplify right side
    5,698x = 143,304,841
  5. Step 5: Solve for x
    x = 143,304,841/5,698
  6. Step 6: Final answer
    x = 25,150.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.