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Finding the Third Proportional to 3,091.41 and 6,849.94

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Solution

The third proportional to 3,091.41 and 6,849.94 is: 15,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.41 : 6,849.94 = 6,849.94 : x
  2. Step 2: Convert to fraction form
    3,091.41/6,849.94 = 6,849.94/x
  3. Step 3: Cross multiply
    3,091.41x = 6,849.94 × 6,849.94
  4. Step 4: Simplify right side
    3,091.41x = 46,921,643.75
  5. Step 5: Solve for x
    x = 46,921,643.75/3,091.41
  6. Step 6: Final answer
    x = 15,178.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.