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Finding the Third Proportional to 9,812.25 and 21,858.75

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Solution

The third proportional to 9,812.25 and 21,858.75 is: 48,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.25 : 21,858.75 = 21,858.75 : x
  2. Step 2: Convert to fraction form
    9,812.25/21,858.75 = 21,858.75/x
  3. Step 3: Cross multiply
    9,812.25x = 21,858.75 × 21,858.75
  4. Step 4: Simplify right side
    9,812.25x = 477,804,951.56
  5. Step 5: Solve for x
    x = 477,804,951.56/9,812.25
  6. Step 6: Final answer
    x = 48,694.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.