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Finding the Third Proportional to 2,007 and 4,583.25

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Solution

The third proportional to 2,007 and 4,583.25 is: 10,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007 : 4,583.25 = 4,583.25 : x
  2. Step 2: Convert to fraction form
    2,007/4,583.25 = 4,583.25/x
  3. Step 3: Cross multiply
    2,007x = 4,583.25 × 4,583.25
  4. Step 4: Simplify right side
    2,007x = 21,006,180.56
  5. Step 5: Solve for x
    x = 21,006,180.56/2,007
  6. Step 6: Final answer
    x = 10,466.46

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.