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Finding the Third Proportional to 4,059 and 8,734.25

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Solution

The third proportional to 4,059 and 8,734.25 is: 18,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 8,734.25 = 8,734.25 : x
  2. Step 2: Convert to fraction form
    4,059/8,734.25 = 8,734.25/x
  3. Step 3: Cross multiply
    4,059x = 8,734.25 × 8,734.25
  4. Step 4: Simplify right side
    4,059x = 76,287,123.06
  5. Step 5: Solve for x
    x = 76,287,123.06/4,059
  6. Step 6: Final answer
    x = 18,794.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.