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Finding the Third Proportional to 9,816.75 and 21,578.25

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Solution

The third proportional to 9,816.75 and 21,578.25 is: 47,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.75 : 21,578.25 = 21,578.25 : x
  2. Step 2: Convert to fraction form
    9,816.75/21,578.25 = 21,578.25/x
  3. Step 3: Cross multiply
    9,816.75x = 21,578.25 × 21,578.25
  4. Step 4: Simplify right side
    9,816.75x = 465,620,873.06
  5. Step 5: Solve for x
    x = 465,620,873.06/9,816.75
  6. Step 6: Final answer
    x = 47,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.