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Finding the Third Proportional to 17,174 and 27,215

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Solution

The third proportional to 17,174 and 27,215 is: 43,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174 : 27,215 = 27,215 : x
  2. Step 2: Convert to fraction form
    17,174/27,215 = 27,215/x
  3. Step 3: Cross multiply
    17,174x = 27,215 × 27,215
  4. Step 4: Simplify right side
    17,174x = 740,656,225
  5. Step 5: Solve for x
    x = 740,656,225/17,174
  6. Step 6: Final answer
    x = 43,126.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.