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Finding the Third Proportional to 5,673 and 6,462.75

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Solution

The third proportional to 5,673 and 6,462.75 is: 7,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673 : 6,462.75 = 6,462.75 : x
  2. Step 2: Convert to fraction form
    5,673/6,462.75 = 6,462.75/x
  3. Step 3: Cross multiply
    5,673x = 6,462.75 × 6,462.75
  4. Step 4: Simplify right side
    5,673x = 41,767,137.56
  5. Step 5: Solve for x
    x = 41,767,137.56/5,673
  6. Step 6: Final answer
    x = 7,362.44

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.