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Finding the Third Proportional to 11,213.44 and 23,588.72

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Solution

The third proportional to 11,213.44 and 23,588.72 is: 49,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.44 : 23,588.72 = 23,588.72 : x
  2. Step 2: Convert to fraction form
    11,213.44/23,588.72 = 23,588.72/x
  3. Step 3: Cross multiply
    11,213.44x = 23,588.72 × 23,588.72
  4. Step 4: Simplify right side
    11,213.44x = 556,427,652.27
  5. Step 5: Solve for x
    x = 556,427,652.27/11,213.44
  6. Step 6: Final answer
    x = 49,621.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.