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Finding the Third Proportional to 27,031.50 and 41,413.50

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Solution

The third proportional to 27,031.50 and 41,413.50 is: 63,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.50 : 41,413.50 = 41,413.50 : x
  2. Step 2: Convert to fraction form
    27,031.50/41,413.50 = 41,413.50/x
  3. Step 3: Cross multiply
    27,031.50x = 41,413.50 × 41,413.50
  4. Step 4: Simplify right side
    27,031.50x = 1,715,077,982.25
  5. Step 5: Solve for x
    x = 1,715,077,982.25/27,031.50
  6. Step 6: Final answer
    x = 63,447.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.