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Finding the Third Proportional to 8,237 and 18,035

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Solution

The third proportional to 8,237 and 18,035 is: 39,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237 : 18,035 = 18,035 : x
  2. Step 2: Convert to fraction form
    8,237/18,035 = 18,035/x
  3. Step 3: Cross multiply
    8,237x = 18,035 × 18,035
  4. Step 4: Simplify right side
    8,237x = 325,261,225
  5. Step 5: Solve for x
    x = 325,261,225/8,237
  6. Step 6: Final answer
    x = 39,487.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.