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Finding the Third Proportional to 8,529.75 and 13,736.25

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Solution

The third proportional to 8,529.75 and 13,736.25 is: 22,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.75 : 13,736.25 = 13,736.25 : x
  2. Step 2: Convert to fraction form
    8,529.75/13,736.25 = 13,736.25/x
  3. Step 3: Cross multiply
    8,529.75x = 13,736.25 × 13,736.25
  4. Step 4: Simplify right side
    8,529.75x = 188,684,564.06
  5. Step 5: Solve for x
    x = 188,684,564.06/8,529.75
  6. Step 6: Final answer
    x = 22,120.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.