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Finding the Third Proportional to 17,092 and 18,388

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Solution

The third proportional to 17,092 and 18,388 is: 19,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092 : 18,388 = 18,388 : x
  2. Step 2: Convert to fraction form
    17,092/18,388 = 18,388/x
  3. Step 3: Cross multiply
    17,092x = 18,388 × 18,388
  4. Step 4: Simplify right side
    17,092x = 338,118,544
  5. Step 5: Solve for x
    x = 338,118,544/17,092
  6. Step 6: Final answer
    x = 19,782.27

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.