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Finding the Third Proportional to 7,083.07 and 15,466.57

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Solution

The third proportional to 7,083.07 and 15,466.57 is: 33,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.07 : 15,466.57 = 15,466.57 : x
  2. Step 2: Convert to fraction form
    7,083.07/15,466.57 = 15,466.57/x
  3. Step 3: Cross multiply
    7,083.07x = 15,466.57 × 15,466.57
  4. Step 4: Simplify right side
    7,083.07x = 239,214,797.23
  5. Step 5: Solve for x
    x = 239,214,797.23/7,083.07
  6. Step 6: Final answer
    x = 33,772.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.