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Finding the Third Proportional to 10,745.25 and 16,604.25

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Solution

The third proportional to 10,745.25 and 16,604.25 is: 25,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.25 : 16,604.25 = 16,604.25 : x
  2. Step 2: Convert to fraction form
    10,745.25/16,604.25 = 16,604.25/x
  3. Step 3: Cross multiply
    10,745.25x = 16,604.25 × 16,604.25
  4. Step 4: Simplify right side
    10,745.25x = 275,701,118.06
  5. Step 5: Solve for x
    x = 275,701,118.06/10,745.25
  6. Step 6: Final answer
    x = 25,657.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.