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Finding the Third Proportional to 7,832 and 16,303

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Solution

The third proportional to 7,832 and 16,303 is: 33,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 16,303 = 16,303 : x
  2. Step 2: Convert to fraction form
    7,832/16,303 = 16,303/x
  3. Step 3: Cross multiply
    7,832x = 16,303 × 16,303
  4. Step 4: Simplify right side
    7,832x = 265,787,809
  5. Step 5: Solve for x
    x = 265,787,809/7,832
  6. Step 6: Final answer
    x = 33,936.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.