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Finding the Third Proportional to 7,033.50 and 10,982.25

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Solution

The third proportional to 7,033.50 and 10,982.25 is: 17,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.50 : 10,982.25 = 10,982.25 : x
  2. Step 2: Convert to fraction form
    7,033.50/10,982.25 = 10,982.25/x
  3. Step 3: Cross multiply
    7,033.50x = 10,982.25 × 10,982.25
  4. Step 4: Simplify right side
    7,033.50x = 120,609,815.06
  5. Step 5: Solve for x
    x = 120,609,815.06/7,033.50
  6. Step 6: Final answer
    x = 17,147.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.