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Finding the Third Proportional to 6,667 and 14,303

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Solution

The third proportional to 6,667 and 14,303 is: 30,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667 : 14,303 = 14,303 : x
  2. Step 2: Convert to fraction form
    6,667/14,303 = 14,303/x
  3. Step 3: Cross multiply
    6,667x = 14,303 × 14,303
  4. Step 4: Simplify right side
    6,667x = 204,575,809
  5. Step 5: Solve for x
    x = 204,575,809/6,667
  6. Step 6: Final answer
    x = 30,684.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.