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Finding the Third Proportional to 8,971 and 13,183

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Solution

The third proportional to 8,971 and 13,183 is: 19,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971 : 13,183 = 13,183 : x
  2. Step 2: Convert to fraction form
    8,971/13,183 = 13,183/x
  3. Step 3: Cross multiply
    8,971x = 13,183 × 13,183
  4. Step 4: Simplify right side
    8,971x = 173,791,489
  5. Step 5: Solve for x
    x = 173,791,489/8,971
  6. Step 6: Final answer
    x = 19,372.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.