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Finding the Third Proportional to 23,093.44 and 49,748.34

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Solution

The third proportional to 23,093.44 and 49,748.34 is: 107,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093.44 : 49,748.34 = 49,748.34 : x
  2. Step 2: Convert to fraction form
    23,093.44/49,748.34 = 49,748.34/x
  3. Step 3: Cross multiply
    23,093.44x = 49,748.34 × 49,748.34
  4. Step 4: Simplify right side
    23,093.44x = 2,474,897,705.87
  5. Step 5: Solve for x
    x = 2,474,897,705.87/23,093.44
  6. Step 6: Final answer
    x = 107,168.87

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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.