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Finding the Third Proportional to 7,270.07 and 8,363.57

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Solution

The third proportional to 7,270.07 and 8,363.57 is: 9,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.07 : 8,363.57 = 8,363.57 : x
  2. Step 2: Convert to fraction form
    7,270.07/8,363.57 = 8,363.57/x
  3. Step 3: Cross multiply
    7,270.07x = 8,363.57 × 8,363.57
  4. Step 4: Simplify right side
    7,270.07x = 69,949,243.03
  5. Step 5: Solve for x
    x = 69,949,243.03/7,270.07
  6. Step 6: Final answer
    x = 9,621.54

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.