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Finding the Third Proportional to 3,584.53 and 8,334.05

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Solution

The third proportional to 3,584.53 and 8,334.05 is: 19,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.53 : 8,334.05 = 8,334.05 : x
  2. Step 2: Convert to fraction form
    3,584.53/8,334.05 = 8,334.05/x
  3. Step 3: Cross multiply
    3,584.53x = 8,334.05 × 8,334.05
  4. Step 4: Simplify right side
    3,584.53x = 69,456,337.31
  5. Step 5: Solve for x
    x = 69,456,337.31/3,584.53
  6. Step 6: Final answer
    x = 19,376.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.