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Finding the Third Proportional to 40,347 and 56,958.75

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Solution

The third proportional to 40,347 and 56,958.75 is: 80,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,347 : 56,958.75 = 56,958.75 : x
  2. Step 2: Convert to fraction form
    40,347/56,958.75 = 56,958.75/x
  3. Step 3: Cross multiply
    40,347x = 56,958.75 × 56,958.75
  4. Step 4: Simplify right side
    40,347x = 3,244,299,201.56
  5. Step 5: Solve for x
    x = 3,244,299,201.56/40,347
  6. Step 6: Final answer
    x = 80,409.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.