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Finding the Third Proportional to 17,109 and 37,581

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Solution

The third proportional to 17,109 and 37,581 is: 82,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109 : 37,581 = 37,581 : x
  2. Step 2: Convert to fraction form
    17,109/37,581 = 37,581/x
  3. Step 3: Cross multiply
    17,109x = 37,581 × 37,581
  4. Step 4: Simplify right side
    17,109x = 1,412,331,561
  5. Step 5: Solve for x
    x = 1,412,331,561/17,109
  6. Step 6: Final answer
    x = 82,549.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.