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Finding the Third Proportional to 8,183.81 and 16,975.13

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Solution

The third proportional to 8,183.81 and 16,975.13 is: 35,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.81 : 16,975.13 = 16,975.13 : x
  2. Step 2: Convert to fraction form
    8,183.81/16,975.13 = 16,975.13/x
  3. Step 3: Cross multiply
    8,183.81x = 16,975.13 × 16,975.13
  4. Step 4: Simplify right side
    8,183.81x = 288,154,868.77
  5. Step 5: Solve for x
    x = 288,154,868.77/8,183.81
  6. Step 6: Final answer
    x = 35,210.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.