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Finding the Third Proportional to 4,114.50 and 7,608

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Solution

The third proportional to 4,114.50 and 7,608 is: 14,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.50 : 7,608 = 7,608 : x
  2. Step 2: Convert to fraction form
    4,114.50/7,608 = 7,608/x
  3. Step 3: Cross multiply
    4,114.50x = 7,608 × 7,608
  4. Step 4: Simplify right side
    4,114.50x = 57,881,664
  5. Step 5: Solve for x
    x = 57,881,664/4,114.50
  6. Step 6: Final answer
    x = 14,067.73

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.