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Finding the Third Proportional to 2,991.94 and 4,903.03

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Solution

The third proportional to 2,991.94 and 4,903.03 is: 8,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 4,903.03 = 4,903.03 : x
  2. Step 2: Convert to fraction form
    2,991.94/4,903.03 = 4,903.03/x
  3. Step 3: Cross multiply
    2,991.94x = 4,903.03 × 4,903.03
  4. Step 4: Simplify right side
    2,991.94x = 24,039,715.44
  5. Step 5: Solve for x
    x = 24,039,715.44/2,991.94
  6. Step 6: Final answer
    x = 8,034.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.