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Finding the Third Proportional to 3,040.03 and 6,385.71

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Solution

The third proportional to 3,040.03 and 6,385.71 is: 13,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.03 : 6,385.71 = 6,385.71 : x
  2. Step 2: Convert to fraction form
    3,040.03/6,385.71 = 6,385.71/x
  3. Step 3: Cross multiply
    3,040.03x = 6,385.71 × 6,385.71
  4. Step 4: Simplify right side
    3,040.03x = 40,777,304.18
  5. Step 5: Solve for x
    x = 40,777,304.18/3,040.03
  6. Step 6: Final answer
    x = 13,413.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.