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Finding the Third Proportional to 6,316.50 and 6,874.50

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Solution

The third proportional to 6,316.50 and 6,874.50 is: 7,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.50 : 6,874.50 = 6,874.50 : x
  2. Step 2: Convert to fraction form
    6,316.50/6,874.50 = 6,874.50/x
  3. Step 3: Cross multiply
    6,316.50x = 6,874.50 × 6,874.50
  4. Step 4: Simplify right side
    6,316.50x = 47,258,750.25
  5. Step 5: Solve for x
    x = 47,258,750.25/6,316.50
  6. Step 6: Final answer
    x = 7,481.79

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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.