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Finding the Third Proportional to 10,729.97 and 16,413.89

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Solution

The third proportional to 10,729.97 and 16,413.89 is: 25,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.97 : 16,413.89 = 16,413.89 : x
  2. Step 2: Convert to fraction form
    10,729.97/16,413.89 = 16,413.89/x
  3. Step 3: Cross multiply
    10,729.97x = 16,413.89 × 16,413.89
  4. Step 4: Simplify right side
    10,729.97x = 269,415,805.45
  5. Step 5: Solve for x
    x = 269,415,805.45/10,729.97
  6. Step 6: Final answer
    x = 25,108.72

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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.