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Finding the Third Proportional to 11,638.69 and 25,003.69

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Solution

The third proportional to 11,638.69 and 25,003.69 is: 53,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.69 : 25,003.69 = 25,003.69 : x
  2. Step 2: Convert to fraction form
    11,638.69/25,003.69 = 25,003.69/x
  3. Step 3: Cross multiply
    11,638.69x = 25,003.69 × 25,003.69
  4. Step 4: Simplify right side
    11,638.69x = 625,184,388.60
  5. Step 5: Solve for x
    x = 625,184,388.60/11,638.69
  6. Step 6: Final answer
    x = 53,716.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.