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Finding the Third Proportional to 17,270 and 37,615

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Solution

The third proportional to 17,270 and 37,615 is: 81,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270 : 37,615 = 37,615 : x
  2. Step 2: Convert to fraction form
    17,270/37,615 = 37,615/x
  3. Step 3: Cross multiply
    17,270x = 37,615 × 37,615
  4. Step 4: Simplify right side
    17,270x = 1,414,888,225
  5. Step 5: Solve for x
    x = 1,414,888,225/17,270
  6. Step 6: Final answer
    x = 81,927.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.