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Finding the Third Proportional to 8,414 and 13,028

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Solution

The third proportional to 8,414 and 13,028 is: 20,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414 : 13,028 = 13,028 : x
  2. Step 2: Convert to fraction form
    8,414/13,028 = 13,028/x
  3. Step 3: Cross multiply
    8,414x = 13,028 × 13,028
  4. Step 4: Simplify right side
    8,414x = 169,728,784
  5. Step 5: Solve for x
    x = 169,728,784/8,414
  6. Step 6: Final answer
    x = 20,172.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.