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Finding the Third Proportional to 3,907.41 and 5,583.73

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Solution

The third proportional to 3,907.41 and 5,583.73 is: 7,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.41 : 5,583.73 = 5,583.73 : x
  2. Step 2: Convert to fraction form
    3,907.41/5,583.73 = 5,583.73/x
  3. Step 3: Cross multiply
    3,907.41x = 5,583.73 × 5,583.73
  4. Step 4: Simplify right side
    3,907.41x = 31,178,002.32
  5. Step 5: Solve for x
    x = 31,178,002.32/3,907.41
  6. Step 6: Final answer
    x = 7,979.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.