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Finding the Third Proportional to 10,893.23 and 23,785.31

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Solution

The third proportional to 10,893.23 and 23,785.31 is: 51,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.23 : 23,785.31 = 23,785.31 : x
  2. Step 2: Convert to fraction form
    10,893.23/23,785.31 = 23,785.31/x
  3. Step 3: Cross multiply
    10,893.23x = 23,785.31 × 23,785.31
  4. Step 4: Simplify right side
    10,893.23x = 565,741,090.72
  5. Step 5: Solve for x
    x = 565,741,090.72/10,893.23
  6. Step 6: Final answer
    x = 51,935.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.