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Finding the Third Proportional to 11,102.06 and 24,049.41

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Solution

The third proportional to 11,102.06 and 24,049.41 is: 52,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.06 : 24,049.41 = 24,049.41 : x
  2. Step 2: Convert to fraction form
    11,102.06/24,049.41 = 24,049.41/x
  3. Step 3: Cross multiply
    11,102.06x = 24,049.41 × 24,049.41
  4. Step 4: Simplify right side
    11,102.06x = 578,373,940.98
  5. Step 5: Solve for x
    x = 578,373,940.98/11,102.06
  6. Step 6: Final answer
    x = 52,096.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.