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Finding the Third Proportional to 13,414 and 21,218

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Solution

The third proportional to 13,414 and 21,218 is: 33,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414 : 21,218 = 21,218 : x
  2. Step 2: Convert to fraction form
    13,414/21,218 = 21,218/x
  3. Step 3: Cross multiply
    13,414x = 21,218 × 21,218
  4. Step 4: Simplify right side
    13,414x = 450,203,524
  5. Step 5: Solve for x
    x = 450,203,524/13,414
  6. Step 6: Final answer
    x = 33,562.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.