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Finding the Third Proportional to 1,586.81 and 2,413.97

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Solution

The third proportional to 1,586.81 and 2,413.97 is: 3,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.81 : 2,413.97 = 2,413.97 : x
  2. Step 2: Convert to fraction form
    1,586.81/2,413.97 = 2,413.97/x
  3. Step 3: Cross multiply
    1,586.81x = 2,413.97 × 2,413.97
  4. Step 4: Simplify right side
    1,586.81x = 5,827,245.13
  5. Step 5: Solve for x
    x = 5,827,245.13/1,586.81
  6. Step 6: Final answer
    x = 3,672.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.