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Finding the Third Proportional to 11,054 and 23,176

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Solution

The third proportional to 11,054 and 23,176 is: 48,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054 : 23,176 = 23,176 : x
  2. Step 2: Convert to fraction form
    11,054/23,176 = 23,176/x
  3. Step 3: Cross multiply
    11,054x = 23,176 × 23,176
  4. Step 4: Simplify right side
    11,054x = 537,126,976
  5. Step 5: Solve for x
    x = 537,126,976/11,054
  6. Step 6: Final answer
    x = 48,591.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.