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Finding the Third Proportional to 6,474.94 and 7,173.56

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Solution

The third proportional to 6,474.94 and 7,173.56 is: 7,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.94 : 7,173.56 = 7,173.56 : x
  2. Step 2: Convert to fraction form
    6,474.94/7,173.56 = 7,173.56/x
  3. Step 3: Cross multiply
    6,474.94x = 7,173.56 × 7,173.56
  4. Step 4: Simplify right side
    6,474.94x = 51,459,998.94
  5. Step 5: Solve for x
    x = 51,459,998.94/6,474.94
  6. Step 6: Final answer
    x = 7,947.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.