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Finding the Third Proportional to 1,413.15 and 3,417.54

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Solution

The third proportional to 1,413.15 and 3,417.54 is: 8,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.15 : 3,417.54 = 3,417.54 : x
  2. Step 2: Convert to fraction form
    1,413.15/3,417.54 = 3,417.54/x
  3. Step 3: Cross multiply
    1,413.15x = 3,417.54 × 3,417.54
  4. Step 4: Simplify right side
    1,413.15x = 11,679,603.28
  5. Step 5: Solve for x
    x = 11,679,603.28/1,413.15
  6. Step 6: Final answer
    x = 8,264.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.