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Finding the Third Proportional to 7,096.36 and 10,183.22

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Solution

The third proportional to 7,096.36 and 10,183.22 is: 14,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.36 : 10,183.22 = 10,183.22 : x
  2. Step 2: Convert to fraction form
    7,096.36/10,183.22 = 10,183.22/x
  3. Step 3: Cross multiply
    7,096.36x = 10,183.22 × 10,183.22
  4. Step 4: Simplify right side
    7,096.36x = 103,697,944.11
  5. Step 5: Solve for x
    x = 103,697,944.11/7,096.36
  6. Step 6: Final answer
    x = 14,612.84

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Why These Related Problems?

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