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Finding the Third Proportional to 40,153.50 and 57,744

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Solution

The third proportional to 40,153.50 and 57,744 is: 83,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,153.50 : 57,744 = 57,744 : x
  2. Step 2: Convert to fraction form
    40,153.50/57,744 = 57,744/x
  3. Step 3: Cross multiply
    40,153.50x = 57,744 × 57,744
  4. Step 4: Simplify right side
    40,153.50x = 3,334,369,536
  5. Step 5: Solve for x
    x = 3,334,369,536/40,153.50
  6. Step 6: Final answer
    x = 83,040.57

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