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Finding the Third Proportional to 13,858.50 and 33,411.75

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Solution

The third proportional to 13,858.50 and 33,411.75 is: 80,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.50 : 33,411.75 = 33,411.75 : x
  2. Step 2: Convert to fraction form
    13,858.50/33,411.75 = 33,411.75/x
  3. Step 3: Cross multiply
    13,858.50x = 33,411.75 × 33,411.75
  4. Step 4: Simplify right side
    13,858.50x = 1,116,345,038.06
  5. Step 5: Solve for x
    x = 1,116,345,038.06/13,858.50
  6. Step 6: Final answer
    x = 80,553.09

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.