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Finding the Third Proportional to 11,001.89 and 23,757.42

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Solution

The third proportional to 11,001.89 and 23,757.42 is: 51,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001.89 : 23,757.42 = 23,757.42 : x
  2. Step 2: Convert to fraction form
    11,001.89/23,757.42 = 23,757.42/x
  3. Step 3: Cross multiply
    11,001.89x = 23,757.42 × 23,757.42
  4. Step 4: Simplify right side
    11,001.89x = 564,415,094.15
  5. Step 5: Solve for x
    x = 564,415,094.15/11,001.89
  6. Step 6: Final answer
    x = 51,301.65

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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.