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Finding the Third Proportional to 8,311.50 and 17,943

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Solution

The third proportional to 8,311.50 and 17,943 is: 38,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.50 : 17,943 = 17,943 : x
  2. Step 2: Convert to fraction form
    8,311.50/17,943 = 17,943/x
  3. Step 3: Cross multiply
    8,311.50x = 17,943 × 17,943
  4. Step 4: Simplify right side
    8,311.50x = 321,951,249
  5. Step 5: Solve for x
    x = 321,951,249/8,311.50
  6. Step 6: Final answer
    x = 38,735.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.