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Finding the Third Proportional to 11,667 and 14,968.50

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Solution

The third proportional to 11,667 and 14,968.50 is: 19,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667 : 14,968.50 = 14,968.50 : x
  2. Step 2: Convert to fraction form
    11,667/14,968.50 = 14,968.50/x
  3. Step 3: Cross multiply
    11,667x = 14,968.50 × 14,968.50
  4. Step 4: Simplify right side
    11,667x = 224,055,992.25
  5. Step 5: Solve for x
    x = 224,055,992.25/11,667
  6. Step 6: Final answer
    x = 19,204.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.