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Finding the Third Proportional to 1,936.41 and 4,157.58

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Solution

The third proportional to 1,936.41 and 4,157.58 is: 8,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.41 : 4,157.58 = 4,157.58 : x
  2. Step 2: Convert to fraction form
    1,936.41/4,157.58 = 4,157.58/x
  3. Step 3: Cross multiply
    1,936.41x = 4,157.58 × 4,157.58
  4. Step 4: Simplify right side
    1,936.41x = 17,285,455.87
  5. Step 5: Solve for x
    x = 17,285,455.87/1,936.41
  6. Step 6: Final answer
    x = 8,926.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.