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Finding the Third Proportional to 3,722.63 and 6,147.56

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Solution

The third proportional to 3,722.63 and 6,147.56 is: 10,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.63 : 6,147.56 = 6,147.56 : x
  2. Step 2: Convert to fraction form
    3,722.63/6,147.56 = 6,147.56/x
  3. Step 3: Cross multiply
    3,722.63x = 6,147.56 × 6,147.56
  4. Step 4: Simplify right side
    3,722.63x = 37,792,524.69
  5. Step 5: Solve for x
    x = 37,792,524.69/3,722.63
  6. Step 6: Final answer
    x = 10,152.12

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.