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Finding the Third Proportional to 11,797 and 24,971

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Solution

The third proportional to 11,797 and 24,971 is: 52,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797 : 24,971 = 24,971 : x
  2. Step 2: Convert to fraction form
    11,797/24,971 = 24,971/x
  3. Step 3: Cross multiply
    11,797x = 24,971 × 24,971
  4. Step 4: Simplify right side
    11,797x = 623,550,841
  5. Step 5: Solve for x
    x = 623,550,841/11,797
  6. Step 6: Final answer
    x = 52,856.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.