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Finding the Third Proportional to 43,194 and 57,405

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Solution

The third proportional to 43,194 and 57,405 is: 76,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,194 : 57,405 = 57,405 : x
  2. Step 2: Convert to fraction form
    43,194/57,405 = 57,405/x
  3. Step 3: Cross multiply
    43,194x = 57,405 × 57,405
  4. Step 4: Simplify right side
    43,194x = 3,295,334,025
  5. Step 5: Solve for x
    x = 3,295,334,025/43,194
  6. Step 6: Final answer
    x = 76,291.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.