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Finding the Third Proportional to 2,571.75 and 6,177.94

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Solution

The third proportional to 2,571.75 and 6,177.94 is: 14,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.75 : 6,177.94 = 6,177.94 : x
  2. Step 2: Convert to fraction form
    2,571.75/6,177.94 = 6,177.94/x
  3. Step 3: Cross multiply
    2,571.75x = 6,177.94 × 6,177.94
  4. Step 4: Simplify right side
    2,571.75x = 38,166,911.75
  5. Step 5: Solve for x
    x = 38,166,911.75/2,571.75
  6. Step 6: Final answer
    x = 14,840.83

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.