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Finding the Third Proportional to 5,122.41 and 8,040.94

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Solution

The third proportional to 5,122.41 and 8,040.94 is: 12,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.41 : 8,040.94 = 8,040.94 : x
  2. Step 2: Convert to fraction form
    5,122.41/8,040.94 = 8,040.94/x
  3. Step 3: Cross multiply
    5,122.41x = 8,040.94 × 8,040.94
  4. Step 4: Simplify right side
    5,122.41x = 64,656,675.88
  5. Step 5: Solve for x
    x = 64,656,675.88/5,122.41
  6. Step 6: Final answer
    x = 12,622.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.