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Finding the Third Proportional to 13,954 and 21,228

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Solution

The third proportional to 13,954 and 21,228 is: 32,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954 : 21,228 = 21,228 : x
  2. Step 2: Convert to fraction form
    13,954/21,228 = 21,228/x
  3. Step 3: Cross multiply
    13,954x = 21,228 × 21,228
  4. Step 4: Simplify right side
    13,954x = 450,627,984
  5. Step 5: Solve for x
    x = 450,627,984/13,954
  6. Step 6: Final answer
    x = 32,293.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.