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Finding the Third Proportional to 2,991.94 and 4,210.73

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Solution

The third proportional to 2,991.94 and 4,210.73 is: 5,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 4,210.73 = 4,210.73 : x
  2. Step 2: Convert to fraction form
    2,991.94/4,210.73 = 4,210.73/x
  3. Step 3: Cross multiply
    2,991.94x = 4,210.73 × 4,210.73
  4. Step 4: Simplify right side
    2,991.94x = 17,730,283.98
  5. Step 5: Solve for x
    x = 17,730,283.98/2,991.94
  6. Step 6: Final answer
    x = 5,926.02

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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.