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Finding the Third Proportional to 17,253 and 37,147

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Solution

The third proportional to 17,253 and 37,147 is: 79,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,253 : 37,147 = 37,147 : x
  2. Step 2: Convert to fraction form
    17,253/37,147 = 37,147/x
  3. Step 3: Cross multiply
    17,253x = 37,147 × 37,147
  4. Step 4: Simplify right side
    17,253x = 1,379,899,609
  5. Step 5: Solve for x
    x = 1,379,899,609/17,253
  6. Step 6: Final answer
    x = 79,980.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.