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Finding the Third Proportional to 3,774.73 and 8,304.40

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Solution

The third proportional to 3,774.73 and 8,304.40 is: 18,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.73 : 8,304.40 = 8,304.40 : x
  2. Step 2: Convert to fraction form
    3,774.73/8,304.40 = 8,304.40/x
  3. Step 3: Cross multiply
    3,774.73x = 8,304.40 × 8,304.40
  4. Step 4: Simplify right side
    3,774.73x = 68,963,033.41
  5. Step 5: Solve for x
    x = 68,963,033.41/3,774.73
  6. Step 6: Final answer
    x = 18,269.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.