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Finding the Third Proportional to 3,413.63 and 4,817.63

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Solution

The third proportional to 3,413.63 and 4,817.63 is: 6,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.63 : 4,817.63 = 4,817.63 : x
  2. Step 2: Convert to fraction form
    3,413.63/4,817.63 = 4,817.63/x
  3. Step 3: Cross multiply
    3,413.63x = 4,817.63 × 4,817.63
  4. Step 4: Simplify right side
    3,413.63x = 23,209,510.64
  5. Step 5: Solve for x
    x = 23,209,510.64/3,413.63
  6. Step 6: Final answer
    x = 6,799.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.