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Finding the Third Proportional to 3,003 and 4,797.25

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Solution

The third proportional to 3,003 and 4,797.25 is: 7,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 4,797.25 = 4,797.25 : x
  2. Step 2: Convert to fraction form
    3,003/4,797.25 = 4,797.25/x
  3. Step 3: Cross multiply
    3,003x = 4,797.25 × 4,797.25
  4. Step 4: Simplify right side
    3,003x = 23,013,607.56
  5. Step 5: Solve for x
    x = 23,013,607.56/3,003
  6. Step 6: Final answer
    x = 7,663.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.