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Finding the Third Proportional to 1,009 and 2,083

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Solution

The third proportional to 1,009 and 2,083 is: 4,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 2,083 = 2,083 : x
  2. Step 2: Convert to fraction form
    1,009/2,083 = 2,083/x
  3. Step 3: Cross multiply
    1,009x = 2,083 × 2,083
  4. Step 4: Simplify right side
    1,009x = 4,338,889
  5. Step 5: Solve for x
    x = 4,338,889/1,009
  6. Step 6: Final answer
    x = 4,300.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.