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Finding the Third Proportional to 1,356.12 and 2,413.23

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Solution

The third proportional to 1,356.12 and 2,413.23 is: 4,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.12 : 2,413.23 = 2,413.23 : x
  2. Step 2: Convert to fraction form
    1,356.12/2,413.23 = 2,413.23/x
  3. Step 3: Cross multiply
    1,356.12x = 2,413.23 × 2,413.23
  4. Step 4: Simplify right side
    1,356.12x = 5,823,681.30
  5. Step 5: Solve for x
    x = 5,823,681.30/1,356.12
  6. Step 6: Final answer
    x = 4,294.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.