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Finding the Third Proportional to 2,859.05 and 4,413.87

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Solution

The third proportional to 2,859.05 and 4,413.87 is: 6,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.05 : 4,413.87 = 4,413.87 : x
  2. Step 2: Convert to fraction form
    2,859.05/4,413.87 = 4,413.87/x
  3. Step 3: Cross multiply
    2,859.05x = 4,413.87 × 4,413.87
  4. Step 4: Simplify right side
    2,859.05x = 19,482,223.55
  5. Step 5: Solve for x
    x = 19,482,223.55/2,859.05
  6. Step 6: Final answer
    x = 6,814.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.