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Finding the Third Proportional to 2,842 and 5,971

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Solution

The third proportional to 2,842 and 5,971 is: 12,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 5,971 = 5,971 : x
  2. Step 2: Convert to fraction form
    2,842/5,971 = 5,971/x
  3. Step 3: Cross multiply
    2,842x = 5,971 × 5,971
  4. Step 4: Simplify right side
    2,842x = 35,652,841
  5. Step 5: Solve for x
    x = 35,652,841/2,842
  6. Step 6: Final answer
    x = 12,544.98

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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.