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Finding the Third Proportional to 2,100.94 and 4,899.23

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Solution

The third proportional to 2,100.94 and 4,899.23 is: 11,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.94 : 4,899.23 = 4,899.23 : x
  2. Step 2: Convert to fraction form
    2,100.94/4,899.23 = 4,899.23/x
  3. Step 3: Cross multiply
    2,100.94x = 4,899.23 × 4,899.23
  4. Step 4: Simplify right side
    2,100.94x = 24,002,497.46
  5. Step 5: Solve for x
    x = 24,002,497.46/2,100.94
  6. Step 6: Final answer
    x = 11,424.66

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.