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Finding the Third Proportional to 7,096.78 and 10,183.78

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Solution

The third proportional to 7,096.78 and 10,183.78 is: 14,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.78 : 10,183.78 = 10,183.78 : x
  2. Step 2: Convert to fraction form
    7,096.78/10,183.78 = 10,183.78/x
  3. Step 3: Cross multiply
    7,096.78x = 10,183.78 × 10,183.78
  4. Step 4: Simplify right side
    7,096.78x = 103,709,400.55
  5. Step 5: Solve for x
    x = 103,709,400.55/7,096.78
  6. Step 6: Final answer
    x = 14,613.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.