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Finding the Third Proportional to 4,664.46 and 7,119.14

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Solution

The third proportional to 4,664.46 and 7,119.14 is: 10,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.46 : 7,119.14 = 7,119.14 : x
  2. Step 2: Convert to fraction form
    4,664.46/7,119.14 = 7,119.14/x
  3. Step 3: Cross multiply
    4,664.46x = 7,119.14 × 7,119.14
  4. Step 4: Simplify right side
    4,664.46x = 50,682,163.24
  5. Step 5: Solve for x
    x = 50,682,163.24/4,664.46
  6. Step 6: Final answer
    x = 10,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.