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Finding the Third Proportional to 17,970 and 27,204.75

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Solution

The third proportional to 17,970 and 27,204.75 is: 41,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970 : 27,204.75 = 27,204.75 : x
  2. Step 2: Convert to fraction form
    17,970/27,204.75 = 27,204.75/x
  3. Step 3: Cross multiply
    17,970x = 27,204.75 × 27,204.75
  4. Step 4: Simplify right side
    17,970x = 740,098,422.56
  5. Step 5: Solve for x
    x = 740,098,422.56/17,970
  6. Step 6: Final answer
    x = 41,185.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.