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Finding the Third Proportional to 23,408.72 and 51,196.78

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Solution

The third proportional to 23,408.72 and 51,196.78 is: 111,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.72 : 51,196.78 = 51,196.78 : x
  2. Step 2: Convert to fraction form
    23,408.72/51,196.78 = 51,196.78/x
  3. Step 3: Cross multiply
    23,408.72x = 51,196.78 × 51,196.78
  4. Step 4: Simplify right side
    23,408.72x = 2,621,110,410.36
  5. Step 5: Solve for x
    x = 2,621,110,410.36/23,408.72
  6. Step 6: Final answer
    x = 111,971.55

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