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Finding the Third Proportional to 1,413.84 and 2,865.66

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Solution

The third proportional to 1,413.84 and 2,865.66 is: 5,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 2,865.66 = 2,865.66 : x
  2. Step 2: Convert to fraction form
    1,413.84/2,865.66 = 2,865.66/x
  3. Step 3: Cross multiply
    1,413.84x = 2,865.66 × 2,865.66
  4. Step 4: Simplify right side
    1,413.84x = 8,211,985.74
  5. Step 5: Solve for x
    x = 8,211,985.74/1,413.84
  6. Step 6: Final answer
    x = 5,808.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.