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Finding the Third Proportional to 1,832 and 3,003

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Solution

The third proportional to 1,832 and 3,003 is: 4,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832 : 3,003 = 3,003 : x
  2. Step 2: Convert to fraction form
    1,832/3,003 = 3,003/x
  3. Step 3: Cross multiply
    1,832x = 3,003 × 3,003
  4. Step 4: Simplify right side
    1,832x = 9,018,009
  5. Step 5: Solve for x
    x = 9,018,009/1,832
  6. Step 6: Final answer
    x = 4,922.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.