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Finding the Third Proportional to 5,475.94 and 8,254.41

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Solution

The third proportional to 5,475.94 and 8,254.41 is: 12,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.94 : 8,254.41 = 8,254.41 : x
  2. Step 2: Convert to fraction form
    5,475.94/8,254.41 = 8,254.41/x
  3. Step 3: Cross multiply
    5,475.94x = 8,254.41 × 8,254.41
  4. Step 4: Simplify right side
    5,475.94x = 68,135,222.54
  5. Step 5: Solve for x
    x = 68,135,222.54/5,475.94
  6. Step 6: Final answer
    x = 12,442.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.