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Finding the Third Proportional to 13,388 and 20,808

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Solution

The third proportional to 13,388 and 20,808 is: 32,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388 : 20,808 = 20,808 : x
  2. Step 2: Convert to fraction form
    13,388/20,808 = 20,808/x
  3. Step 3: Cross multiply
    13,388x = 20,808 × 20,808
  4. Step 4: Simplify right side
    13,388x = 432,972,864
  5. Step 5: Solve for x
    x = 432,972,864/13,388
  6. Step 6: Final answer
    x = 32,340.37

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