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Finding the Third Proportional to 5,193 and 6,568.50

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Solution

The third proportional to 5,193 and 6,568.50 is: 8,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 6,568.50 = 6,568.50 : x
  2. Step 2: Convert to fraction form
    5,193/6,568.50 = 6,568.50/x
  3. Step 3: Cross multiply
    5,193x = 6,568.50 × 6,568.50
  4. Step 4: Simplify right side
    5,193x = 43,145,192.25
  5. Step 5: Solve for x
    x = 43,145,192.25/5,193
  6. Step 6: Final answer
    x = 8,308.34

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.