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Finding the Third Proportional to 57,367.13 and 82,625.63

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Solution

The third proportional to 57,367.13 and 82,625.63 is: 119,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,367.13 : 82,625.63 = 82,625.63 : x
  2. Step 2: Convert to fraction form
    57,367.13/82,625.63 = 82,625.63/x
  3. Step 3: Cross multiply
    57,367.13x = 82,625.63 × 82,625.63
  4. Step 4: Simplify right side
    57,367.13x = 6,826,993,906.64
  5. Step 5: Solve for x
    x = 6,826,993,906.64/57,367.13
  6. Step 6: Final answer
    x = 119,005.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.