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Finding the Third Proportional to 14,087.25 and 19,824.75

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Solution

The third proportional to 14,087.25 and 19,824.75 is: 27,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.25 : 19,824.75 = 19,824.75 : x
  2. Step 2: Convert to fraction form
    14,087.25/19,824.75 = 19,824.75/x
  3. Step 3: Cross multiply
    14,087.25x = 19,824.75 × 19,824.75
  4. Step 4: Simplify right side
    14,087.25x = 393,020,712.56
  5. Step 5: Solve for x
    x = 393,020,712.56/14,087.25
  6. Step 6: Final answer
    x = 27,899.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.