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Finding the Third Proportional to 2,202.75 and 4,828.50

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Solution

The third proportional to 2,202.75 and 4,828.50 is: 10,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.75 : 4,828.50 = 4,828.50 : x
  2. Step 2: Convert to fraction form
    2,202.75/4,828.50 = 4,828.50/x
  3. Step 3: Cross multiply
    2,202.75x = 4,828.50 × 4,828.50
  4. Step 4: Simplify right side
    2,202.75x = 23,314,412.25
  5. Step 5: Solve for x
    x = 23,314,412.25/2,202.75
  6. Step 6: Final answer
    x = 10,584.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.