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Finding the Third Proportional to 6,208 and 13,028

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Solution

The third proportional to 6,208 and 13,028 is: 27,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208 : 13,028 = 13,028 : x
  2. Step 2: Convert to fraction form
    6,208/13,028 = 13,028/x
  3. Step 3: Cross multiply
    6,208x = 13,028 × 13,028
  4. Step 4: Simplify right side
    6,208x = 169,728,784
  5. Step 5: Solve for x
    x = 169,728,784/6,208
  6. Step 6: Final answer
    x = 27,340.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.