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Finding the Third Proportional to 11,295.56 and 23,517.56

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Solution

The third proportional to 11,295.56 and 23,517.56 is: 48,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.56 : 23,517.56 = 23,517.56 : x
  2. Step 2: Convert to fraction form
    11,295.56/23,517.56 = 23,517.56/x
  3. Step 3: Cross multiply
    11,295.56x = 23,517.56 × 23,517.56
  4. Step 4: Simplify right side
    11,295.56x = 553,075,745.94
  5. Step 5: Solve for x
    x = 553,075,745.94/11,295.56
  6. Step 6: Final answer
    x = 48,963.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.