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Finding the Third Proportional to 13,986.75 and 27,264.75

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Solution

The third proportional to 13,986.75 and 27,264.75 is: 53,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.75 : 27,264.75 = 27,264.75 : x
  2. Step 2: Convert to fraction form
    13,986.75/27,264.75 = 27,264.75/x
  3. Step 3: Cross multiply
    13,986.75x = 27,264.75 × 27,264.75
  4. Step 4: Simplify right side
    13,986.75x = 743,366,592.56
  5. Step 5: Solve for x
    x = 743,366,592.56/13,986.75
  6. Step 6: Final answer
    x = 53,147.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.