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Finding the Third Proportional to 1,413.56 and 2,865.09

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Solution

The third proportional to 1,413.56 and 2,865.09 is: 5,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.56 : 2,865.09 = 2,865.09 : x
  2. Step 2: Convert to fraction form
    1,413.56/2,865.09 = 2,865.09/x
  3. Step 3: Cross multiply
    1,413.56x = 2,865.09 × 2,865.09
  4. Step 4: Simplify right side
    1,413.56x = 8,208,762.20
  5. Step 5: Solve for x
    x = 8,208,762.20/1,413.56
  6. Step 6: Final answer
    x = 5,807.14

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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.