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Finding the Third Proportional to 1,942.10 and 4,157.58

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Solution

The third proportional to 1,942.10 and 4,157.58 is: 8,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.10 : 4,157.58 = 4,157.58 : x
  2. Step 2: Convert to fraction form
    1,942.10/4,157.58 = 4,157.58/x
  3. Step 3: Cross multiply
    1,942.10x = 4,157.58 × 4,157.58
  4. Step 4: Simplify right side
    1,942.10x = 17,285,455.87
  5. Step 5: Solve for x
    x = 17,285,455.87/1,942.10
  6. Step 6: Final answer
    x = 8,900.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.