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Finding the Third Proportional to 12,413.50 and 27,011

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Solution

The third proportional to 12,413.50 and 27,011 is: 58,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.50 : 27,011 = 27,011 : x
  2. Step 2: Convert to fraction form
    12,413.50/27,011 = 27,011/x
  3. Step 3: Cross multiply
    12,413.50x = 27,011 × 27,011
  4. Step 4: Simplify right side
    12,413.50x = 729,594,121
  5. Step 5: Solve for x
    x = 729,594,121/12,413.50
  6. Step 6: Final answer
    x = 58,774.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.