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Finding the Third Proportional to 11,172.94 and 23,264.44

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Solution

The third proportional to 11,172.94 and 23,264.44 is: 48,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.94 : 23,264.44 = 23,264.44 : x
  2. Step 2: Convert to fraction form
    11,172.94/23,264.44 = 23,264.44/x
  3. Step 3: Cross multiply
    11,172.94x = 23,264.44 × 23,264.44
  4. Step 4: Simplify right side
    11,172.94x = 541,234,052.19
  5. Step 5: Solve for x
    x = 541,234,052.19/11,172.94
  6. Step 6: Final answer
    x = 48,441.52

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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.