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Finding the Third Proportional to 6,516 and 7,104

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Solution

The third proportional to 6,516 and 7,104 is: 7,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 7,104 = 7,104 : x
  2. Step 2: Convert to fraction form
    6,516/7,104 = 7,104/x
  3. Step 3: Cross multiply
    6,516x = 7,104 × 7,104
  4. Step 4: Simplify right side
    6,516x = 50,466,816
  5. Step 5: Solve for x
    x = 50,466,816/6,516
  6. Step 6: Final answer
    x = 7,745.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.