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Finding the Third Proportional to 17,382 and 38,219

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Solution

The third proportional to 17,382 and 38,219 is: 84,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382 : 38,219 = 38,219 : x
  2. Step 2: Convert to fraction form
    17,382/38,219 = 38,219/x
  3. Step 3: Cross multiply
    17,382x = 38,219 × 38,219
  4. Step 4: Simplify right side
    17,382x = 1,460,691,961
  5. Step 5: Solve for x
    x = 1,460,691,961/17,382
  6. Step 6: Final answer
    x = 84,034.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.