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Finding the Third Proportional to 13,984.13 and 19,551.94

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Solution

The third proportional to 13,984.13 and 19,551.94 is: 27,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.13 : 19,551.94 = 19,551.94 : x
  2. Step 2: Convert to fraction form
    13,984.13/19,551.94 = 19,551.94/x
  3. Step 3: Cross multiply
    13,984.13x = 19,551.94 × 19,551.94
  4. Step 4: Simplify right side
    13,984.13x = 382,278,260.00
  5. Step 5: Solve for x
    x = 382,278,260.00/13,984.13
  6. Step 6: Final answer
    x = 27,336.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.