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Finding the Third Proportional to 11,894.34 and 25,838.37

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Solution

The third proportional to 11,894.34 and 25,838.37 is: 56,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.34 : 25,838.37 = 25,838.37 : x
  2. Step 2: Convert to fraction form
    11,894.34/25,838.37 = 25,838.37/x
  3. Step 3: Cross multiply
    11,894.34x = 25,838.37 × 25,838.37
  4. Step 4: Simplify right side
    11,894.34x = 667,621,218.92
  5. Step 5: Solve for x
    x = 667,621,218.92/11,894.34
  6. Step 6: Final answer
    x = 56,129.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.