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Finding the Third Proportional to 8,754.75 and 13,923.56

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Solution

The third proportional to 8,754.75 and 13,923.56 is: 22,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754.75 : 13,923.56 = 13,923.56 : x
  2. Step 2: Convert to fraction form
    8,754.75/13,923.56 = 13,923.56/x
  3. Step 3: Cross multiply
    8,754.75x = 13,923.56 × 13,923.56
  4. Step 4: Simplify right side
    8,754.75x = 193,865,592.69
  5. Step 5: Solve for x
    x = 193,865,592.69/8,754.75
  6. Step 6: Final answer
    x = 22,144.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.