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Finding the Third Proportional to 10,034.50 and 11,857

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Solution

The third proportional to 10,034.50 and 11,857 is: 14,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.50 : 11,857 = 11,857 : x
  2. Step 2: Convert to fraction form
    10,034.50/11,857 = 11,857/x
  3. Step 3: Cross multiply
    10,034.50x = 11,857 × 11,857
  4. Step 4: Simplify right side
    10,034.50x = 140,588,449
  5. Step 5: Solve for x
    x = 140,588,449/10,034.50
  6. Step 6: Final answer
    x = 14,010.51

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.