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Finding the Third Proportional to 2,986.73 and 4,177.41

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Solution

The third proportional to 2,986.73 and 4,177.41 is: 5,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.73 : 4,177.41 = 4,177.41 : x
  2. Step 2: Convert to fraction form
    2,986.73/4,177.41 = 4,177.41/x
  3. Step 3: Cross multiply
    2,986.73x = 4,177.41 × 4,177.41
  4. Step 4: Simplify right side
    2,986.73x = 17,450,722.98
  5. Step 5: Solve for x
    x = 17,450,722.98/2,986.73
  6. Step 6: Final answer
    x = 5,842.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.