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Finding the Third Proportional to 11,413.41 and 27,294.47

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Solution

The third proportional to 11,413.41 and 27,294.47 is: 65,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.41 : 27,294.47 = 27,294.47 : x
  2. Step 2: Convert to fraction form
    11,413.41/27,294.47 = 27,294.47/x
  3. Step 3: Cross multiply
    11,413.41x = 27,294.47 × 27,294.47
  4. Step 4: Simplify right side
    11,413.41x = 744,988,024.34
  5. Step 5: Solve for x
    x = 744,988,024.34/11,413.41
  6. Step 6: Final answer
    x = 65,273.07

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.