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Finding the Third Proportional to 2,099.67 and 2,942.58

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Solution

The third proportional to 2,099.67 and 2,942.58 is: 4,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.67 : 2,942.58 = 2,942.58 : x
  2. Step 2: Convert to fraction form
    2,099.67/2,942.58 = 2,942.58/x
  3. Step 3: Cross multiply
    2,099.67x = 2,942.58 × 2,942.58
  4. Step 4: Simplify right side
    2,099.67x = 8,658,766.02
  5. Step 5: Solve for x
    x = 8,658,766.02/2,099.67
  6. Step 6: Final answer
    x = 4,123.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.