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Finding the Third Proportional to 17,880 and 27,284

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Solution

The third proportional to 17,880 and 27,284 is: 41,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880 : 27,284 = 27,284 : x
  2. Step 2: Convert to fraction form
    17,880/27,284 = 27,284/x
  3. Step 3: Cross multiply
    17,880x = 27,284 × 27,284
  4. Step 4: Simplify right side
    17,880x = 744,416,656
  5. Step 5: Solve for x
    x = 744,416,656/17,880
  6. Step 6: Final answer
    x = 41,634.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.