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Finding the Third Proportional to 4,138.50 and 5,970.75

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Solution

The third proportional to 4,138.50 and 5,970.75 is: 8,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.50 : 5,970.75 = 5,970.75 : x
  2. Step 2: Convert to fraction form
    4,138.50/5,970.75 = 5,970.75/x
  3. Step 3: Cross multiply
    4,138.50x = 5,970.75 × 5,970.75
  4. Step 4: Simplify right side
    4,138.50x = 35,649,855.56
  5. Step 5: Solve for x
    x = 35,649,855.56/4,138.50
  6. Step 6: Final answer
    x = 8,614.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.