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Finding the Third Proportional to 11,097 and 23,969.25

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Solution

The third proportional to 11,097 and 23,969.25 is: 51,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 23,969.25 = 23,969.25 : x
  2. Step 2: Convert to fraction form
    11,097/23,969.25 = 23,969.25/x
  3. Step 3: Cross multiply
    11,097x = 23,969.25 × 23,969.25
  4. Step 4: Simplify right side
    11,097x = 574,524,945.56
  5. Step 5: Solve for x
    x = 574,524,945.56/11,097
  6. Step 6: Final answer
    x = 51,773.00

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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.