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Finding the Third Proportional to 3,021 and 4,669.25

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Solution

The third proportional to 3,021 and 4,669.25 is: 7,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 4,669.25 = 4,669.25 : x
  2. Step 2: Convert to fraction form
    3,021/4,669.25 = 4,669.25/x
  3. Step 3: Cross multiply
    3,021x = 4,669.25 × 4,669.25
  4. Step 4: Simplify right side
    3,021x = 21,801,895.56
  5. Step 5: Solve for x
    x = 21,801,895.56/3,021
  6. Step 6: Final answer
    x = 7,216.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.