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Finding the Third Proportional to 23,278 and 50,276

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Solution

The third proportional to 23,278 and 50,276 is: 108,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,278 : 50,276 = 50,276 : x
  2. Step 2: Convert to fraction form
    23,278/50,276 = 50,276/x
  3. Step 3: Cross multiply
    23,278x = 50,276 × 50,276
  4. Step 4: Simplify right side
    23,278x = 2,527,676,176
  5. Step 5: Solve for x
    x = 2,527,676,176/23,278
  6. Step 6: Final answer
    x = 108,586.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.