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Finding the Third Proportional to 5,826.75 and 6,960.75

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Solution

The third proportional to 5,826.75 and 6,960.75 is: 8,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.75 : 6,960.75 = 6,960.75 : x
  2. Step 2: Convert to fraction form
    5,826.75/6,960.75 = 6,960.75/x
  3. Step 3: Cross multiply
    5,826.75x = 6,960.75 × 6,960.75
  4. Step 4: Simplify right side
    5,826.75x = 48,452,040.56
  5. Step 5: Solve for x
    x = 48,452,040.56/5,826.75
  6. Step 6: Final answer
    x = 8,315.45

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.