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Finding the Third Proportional to 11,433 and 25,003

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Solution

The third proportional to 11,433 and 25,003 is: 54,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433 : 25,003 = 25,003 : x
  2. Step 2: Convert to fraction form
    11,433/25,003 = 25,003/x
  3. Step 3: Cross multiply
    11,433x = 25,003 × 25,003
  4. Step 4: Simplify right side
    11,433x = 625,150,009
  5. Step 5: Solve for x
    x = 625,150,009/11,433
  6. Step 6: Final answer
    x = 54,679.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.