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Finding the Third Proportional to 40,075.50 and 56,963.25

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Solution

The third proportional to 40,075.50 and 56,963.25 is: 80,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,075.50 : 56,963.25 = 56,963.25 : x
  2. Step 2: Convert to fraction form
    40,075.50/56,963.25 = 56,963.25/x
  3. Step 3: Cross multiply
    40,075.50x = 56,963.25 × 56,963.25
  4. Step 4: Simplify right side
    40,075.50x = 3,244,811,850.56
  5. Step 5: Solve for x
    x = 3,244,811,850.56/40,075.50
  6. Step 6: Final answer
    x = 80,967.47

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.