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Finding the Third Proportional to 17,984 and 27,219

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Solution

The third proportional to 17,984 and 27,219 is: 41,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984 : 27,219 = 27,219 : x
  2. Step 2: Convert to fraction form
    17,984/27,219 = 27,219/x
  3. Step 3: Cross multiply
    17,984x = 27,219 × 27,219
  4. Step 4: Simplify right side
    17,984x = 740,873,961
  5. Step 5: Solve for x
    x = 740,873,961/17,984
  6. Step 6: Final answer
    x = 41,196.28

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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.