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Finding the Third Proportional to 17,163 and 19,674

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Solution

The third proportional to 17,163 and 19,674 is: 22,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163 : 19,674 = 19,674 : x
  2. Step 2: Convert to fraction form
    17,163/19,674 = 19,674/x
  3. Step 3: Cross multiply
    17,163x = 19,674 × 19,674
  4. Step 4: Simplify right side
    17,163x = 387,066,276
  5. Step 5: Solve for x
    x = 387,066,276/17,163
  6. Step 6: Final answer
    x = 22,552.37

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.