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Finding the Third Proportional to 11,178 and 23,276

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Solution

The third proportional to 11,178 and 23,276 is: 48,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 23,276 = 23,276 : x
  2. Step 2: Convert to fraction form
    11,178/23,276 = 23,276/x
  3. Step 3: Cross multiply
    11,178x = 23,276 × 23,276
  4. Step 4: Simplify right side
    11,178x = 541,772,176
  5. Step 5: Solve for x
    x = 541,772,176/11,178
  6. Step 6: Final answer
    x = 48,467.72

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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.