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Finding the Third Proportional to 7,096.50 and 8,230.50

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Solution

The third proportional to 7,096.50 and 8,230.50 is: 9,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.50 : 8,230.50 = 8,230.50 : x
  2. Step 2: Convert to fraction form
    7,096.50/8,230.50 = 8,230.50/x
  3. Step 3: Cross multiply
    7,096.50x = 8,230.50 × 8,230.50
  4. Step 4: Simplify right side
    7,096.50x = 67,741,130.25
  5. Step 5: Solve for x
    x = 67,741,130.25/7,096.50
  6. Step 6: Final answer
    x = 9,545.71

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.