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Finding the Third Proportional to 1,413.84 and 3,042.84

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Solution

The third proportional to 1,413.84 and 3,042.84 is: 6,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 3,042.84 = 3,042.84 : x
  2. Step 2: Convert to fraction form
    1,413.84/3,042.84 = 3,042.84/x
  3. Step 3: Cross multiply
    1,413.84x = 3,042.84 × 3,042.84
  4. Step 4: Simplify right side
    1,413.84x = 9,258,898.09
  5. Step 5: Solve for x
    x = 9,258,898.09/1,413.84
  6. Step 6: Final answer
    x = 6,548.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.