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Finding the Third Proportional to 7,918 and 18,667

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Solution

The third proportional to 7,918 and 18,667 is: 44,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918 : 18,667 = 18,667 : x
  2. Step 2: Convert to fraction form
    7,918/18,667 = 18,667/x
  3. Step 3: Cross multiply
    7,918x = 18,667 × 18,667
  4. Step 4: Simplify right side
    7,918x = 348,456,889
  5. Step 5: Solve for x
    x = 348,456,889/7,918
  6. Step 6: Final answer
    x = 44,008.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.