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Finding the Third Proportional to 4,584.73 and 9,528.26

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Solution

The third proportional to 4,584.73 and 9,528.26 is: 19,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.73 : 9,528.26 = 9,528.26 : x
  2. Step 2: Convert to fraction form
    4,584.73/9,528.26 = 9,528.26/x
  3. Step 3: Cross multiply
    4,584.73x = 9,528.26 × 9,528.26
  4. Step 4: Simplify right side
    4,584.73x = 90,787,696.94
  5. Step 5: Solve for x
    x = 90,787,696.94/4,584.73
  6. Step 6: Final answer
    x = 19,802.21

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.