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Finding the Third Proportional to 2,100.38 and 2,964.94

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Solution

The third proportional to 2,100.38 and 2,964.94 is: 4,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.38 : 2,964.94 = 2,964.94 : x
  2. Step 2: Convert to fraction form
    2,100.38/2,964.94 = 2,964.94/x
  3. Step 3: Cross multiply
    2,100.38x = 2,964.94 × 2,964.94
  4. Step 4: Simplify right side
    2,100.38x = 8,790,854.38
  5. Step 5: Solve for x
    x = 8,790,854.38/2,100.38
  6. Step 6: Final answer
    x = 4,185.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.