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Finding the Third Proportional to 13,744 and 19,284

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Solution

The third proportional to 13,744 and 19,284 is: 27,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744 : 19,284 = 19,284 : x
  2. Step 2: Convert to fraction form
    13,744/19,284 = 19,284/x
  3. Step 3: Cross multiply
    13,744x = 19,284 × 19,284
  4. Step 4: Simplify right side
    13,744x = 371,872,656
  5. Step 5: Solve for x
    x = 371,872,656/13,744
  6. Step 6: Final answer
    x = 27,057.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.