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Finding the Third Proportional to 3,936.94 and 5,146.03

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Solution

The third proportional to 3,936.94 and 5,146.03 is: 6,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.94 : 5,146.03 = 5,146.03 : x
  2. Step 2: Convert to fraction form
    3,936.94/5,146.03 = 5,146.03/x
  3. Step 3: Cross multiply
    3,936.94x = 5,146.03 × 5,146.03
  4. Step 4: Simplify right side
    3,936.94x = 26,481,637.63
  5. Step 5: Solve for x
    x = 26,481,637.63/3,936.94
  6. Step 6: Final answer
    x = 6,726.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.