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Finding the Third Proportional to 13,577.75 and 28,396.75

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Solution

The third proportional to 13,577.75 and 28,396.75 is: 59,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.75 : 28,396.75 = 28,396.75 : x
  2. Step 2: Convert to fraction form
    13,577.75/28,396.75 = 28,396.75/x
  3. Step 3: Cross multiply
    13,577.75x = 28,396.75 × 28,396.75
  4. Step 4: Simplify right side
    13,577.75x = 806,375,410.56
  5. Step 5: Solve for x
    x = 806,375,410.56/13,577.75
  6. Step 6: Final answer
    x = 59,389.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.