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Finding the Third Proportional to 2,991.94 and 6,766.03

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Solution

The third proportional to 2,991.94 and 6,766.03 is: 15,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 6,766.03 = 6,766.03 : x
  2. Step 2: Convert to fraction form
    2,991.94/6,766.03 = 6,766.03/x
  3. Step 3: Cross multiply
    2,991.94x = 6,766.03 × 6,766.03
  4. Step 4: Simplify right side
    2,991.94x = 45,779,178.88
  5. Step 5: Solve for x
    x = 45,779,178.88/2,991.94
  6. Step 6: Final answer
    x = 15,300.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.