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Finding the Third Proportional to 3,970.13 and 5,046.19

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Solution

The third proportional to 3,970.13 and 5,046.19 is: 6,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.13 : 5,046.19 = 5,046.19 : x
  2. Step 2: Convert to fraction form
    3,970.13/5,046.19 = 5,046.19/x
  3. Step 3: Cross multiply
    3,970.13x = 5,046.19 × 5,046.19
  4. Step 4: Simplify right side
    3,970.13x = 25,464,008.29
  5. Step 5: Solve for x
    x = 25,464,008.29/3,970.13
  6. Step 6: Final answer
    x = 6,413.91

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.