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Finding the Third Proportional to 13,960.25 and 21,851.75

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Solution

The third proportional to 13,960.25 and 21,851.75 is: 34,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.25 : 21,851.75 = 21,851.75 : x
  2. Step 2: Convert to fraction form
    13,960.25/21,851.75 = 21,851.75/x
  3. Step 3: Cross multiply
    13,960.25x = 21,851.75 × 21,851.75
  4. Step 4: Simplify right side
    13,960.25x = 477,498,978.06
  5. Step 5: Solve for x
    x = 477,498,978.06/13,960.25
  6. Step 6: Final answer
    x = 34,204.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.