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Finding the Third Proportional to 8,441.75 and 17,923.75

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Solution

The third proportional to 8,441.75 and 17,923.75 is: 38,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.75 : 17,923.75 = 17,923.75 : x
  2. Step 2: Convert to fraction form
    8,441.75/17,923.75 = 17,923.75/x
  3. Step 3: Cross multiply
    8,441.75x = 17,923.75 × 17,923.75
  4. Step 4: Simplify right side
    8,441.75x = 321,260,814.06
  5. Step 5: Solve for x
    x = 321,260,814.06/8,441.75
  6. Step 6: Final answer
    x = 38,056.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.