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Finding the Third Proportional to 3,003 and 4,427.25

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Solution

The third proportional to 3,003 and 4,427.25 is: 6,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 4,427.25 = 4,427.25 : x
  2. Step 2: Convert to fraction form
    3,003/4,427.25 = 4,427.25/x
  3. Step 3: Cross multiply
    3,003x = 4,427.25 × 4,427.25
  4. Step 4: Simplify right side
    3,003x = 19,600,542.56
  5. Step 5: Solve for x
    x = 19,600,542.56/3,003
  6. Step 6: Final answer
    x = 6,526.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.