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Finding the Third Proportional to 6,766.50 and 7,455

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Solution

The third proportional to 6,766.50 and 7,455 is: 8,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.50 : 7,455 = 7,455 : x
  2. Step 2: Convert to fraction form
    6,766.50/7,455 = 7,455/x
  3. Step 3: Cross multiply
    6,766.50x = 7,455 × 7,455
  4. Step 4: Simplify right side
    6,766.50x = 55,577,025
  5. Step 5: Solve for x
    x = 55,577,025/6,766.50
  6. Step 6: Final answer
    x = 8,213.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.