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Finding the Third Proportional to 3,844.63 and 4,912.63

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Solution

The third proportional to 3,844.63 and 4,912.63 is: 6,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.63 : 4,912.63 = 4,912.63 : x
  2. Step 2: Convert to fraction form
    3,844.63/4,912.63 = 4,912.63/x
  3. Step 3: Cross multiply
    3,844.63x = 4,912.63 × 4,912.63
  4. Step 4: Simplify right side
    3,844.63x = 24,133,884.39
  5. Step 5: Solve for x
    x = 24,133,884.39/3,844.63
  6. Step 6: Final answer
    x = 6,277.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.