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Finding the Third Proportional to 12,962 and 17,971

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Solution

The third proportional to 12,962 and 17,971 is: 24,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962 : 17,971 = 17,971 : x
  2. Step 2: Convert to fraction form
    12,962/17,971 = 17,971/x
  3. Step 3: Cross multiply
    12,962x = 17,971 × 17,971
  4. Step 4: Simplify right side
    12,962x = 322,956,841
  5. Step 5: Solve for x
    x = 322,956,841/12,962
  6. Step 6: Final answer
    x = 24,915.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.