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Finding the Third Proportional to 6,273.50 and 8,328.50

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Solution

The third proportional to 6,273.50 and 8,328.50 is: 11,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.50 : 8,328.50 = 8,328.50 : x
  2. Step 2: Convert to fraction form
    6,273.50/8,328.50 = 8,328.50/x
  3. Step 3: Cross multiply
    6,273.50x = 8,328.50 × 8,328.50
  4. Step 4: Simplify right side
    6,273.50x = 69,363,912.25
  5. Step 5: Solve for x
    x = 69,363,912.25/6,273.50
  6. Step 6: Final answer
    x = 11,056.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.