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Finding the Third Proportional to 11,323.50 and 24,017.25

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Solution

The third proportional to 11,323.50 and 24,017.25 is: 50,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.50 : 24,017.25 = 24,017.25 : x
  2. Step 2: Convert to fraction form
    11,323.50/24,017.25 = 24,017.25/x
  3. Step 3: Cross multiply
    11,323.50x = 24,017.25 × 24,017.25
  4. Step 4: Simplify right side
    11,323.50x = 576,828,297.56
  5. Step 5: Solve for x
    x = 576,828,297.56/11,323.50
  6. Step 6: Final answer
    x = 50,940.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.