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Finding the Third Proportional to 11,622.75 and 23,858.25

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Solution

The third proportional to 11,622.75 and 23,858.25 is: 48,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.75 : 23,858.25 = 23,858.25 : x
  2. Step 2: Convert to fraction form
    11,622.75/23,858.25 = 23,858.25/x
  3. Step 3: Cross multiply
    11,622.75x = 23,858.25 × 23,858.25
  4. Step 4: Simplify right side
    11,622.75x = 569,216,093.06
  5. Step 5: Solve for x
    x = 569,216,093.06/11,622.75
  6. Step 6: Final answer
    x = 48,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.