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Finding the Third Proportional to 13,940.23 and 21,592.83

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Solution

The third proportional to 13,940.23 and 21,592.83 is: 33,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.23 : 21,592.83 = 21,592.83 : x
  2. Step 2: Convert to fraction form
    13,940.23/21,592.83 = 21,592.83/x
  3. Step 3: Cross multiply
    13,940.23x = 21,592.83 × 21,592.83
  4. Step 4: Simplify right side
    13,940.23x = 466,250,226.44
  5. Step 5: Solve for x
    x = 466,250,226.44/13,940.23
  6. Step 6: Final answer
    x = 33,446.39

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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.