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Finding the Third Proportional to 3,003 and 4,028.50

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Solution

The third proportional to 3,003 and 4,028.50 is: 5,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 4,028.50 = 4,028.50 : x
  2. Step 2: Convert to fraction form
    3,003/4,028.50 = 4,028.50/x
  3. Step 3: Cross multiply
    3,003x = 4,028.50 × 4,028.50
  4. Step 4: Simplify right side
    3,003x = 16,228,812.25
  5. Step 5: Solve for x
    x = 16,228,812.25/3,003
  6. Step 6: Final answer
    x = 5,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.