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Finding the Third Proportional to 4,065.50 and 5,943.25

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Solution

The third proportional to 4,065.50 and 5,943.25 is: 8,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.50 : 5,943.25 = 5,943.25 : x
  2. Step 2: Convert to fraction form
    4,065.50/5,943.25 = 5,943.25/x
  3. Step 3: Cross multiply
    4,065.50x = 5,943.25 × 5,943.25
  4. Step 4: Simplify right side
    4,065.50x = 35,322,220.56
  5. Step 5: Solve for x
    x = 35,322,220.56/4,065.50
  6. Step 6: Final answer
    x = 8,688.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.