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Finding the Third Proportional to 4,584.94 and 6,193.97

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Solution

The third proportional to 4,584.94 and 6,193.97 is: 8,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.94 : 6,193.97 = 6,193.97 : x
  2. Step 2: Convert to fraction form
    4,584.94/6,193.97 = 6,193.97/x
  3. Step 3: Cross multiply
    4,584.94x = 6,193.97 × 6,193.97
  4. Step 4: Simplify right side
    4,584.94x = 38,365,248.88
  5. Step 5: Solve for x
    x = 38,365,248.88/4,584.94
  6. Step 6: Final answer
    x = 8,367.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.