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Finding the Third Proportional to 11,001.94 and 23,757.54

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Solution

The third proportional to 11,001.94 and 23,757.54 is: 51,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001.94 : 23,757.54 = 23,757.54 : x
  2. Step 2: Convert to fraction form
    11,001.94/23,757.54 = 23,757.54/x
  3. Step 3: Cross multiply
    11,001.94x = 23,757.54 × 23,757.54
  4. Step 4: Simplify right side
    11,001.94x = 564,420,662.31
  5. Step 5: Solve for x
    x = 564,420,662.31/11,001.94
  6. Step 6: Final answer
    x = 51,301.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.