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Finding the Third Proportional to 40,426.75 and 57,889.25

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Solution

The third proportional to 40,426.75 and 57,889.25 is: 82,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,426.75 : 57,889.25 = 57,889.25 : x
  2. Step 2: Convert to fraction form
    40,426.75/57,889.25 = 57,889.25/x
  3. Step 3: Cross multiply
    40,426.75x = 57,889.25 × 57,889.25
  4. Step 4: Simplify right side
    40,426.75x = 3,351,165,265.56
  5. Step 5: Solve for x
    x = 3,351,165,265.56/40,426.75
  6. Step 6: Final answer
    x = 82,894.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.