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Finding the Third Proportional to 23,780 and 50,278

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Solution

The third proportional to 23,780 and 50,278 is: 106,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780 : 50,278 = 50,278 : x
  2. Step 2: Convert to fraction form
    23,780/50,278 = 50,278/x
  3. Step 3: Cross multiply
    23,780x = 50,278 × 50,278
  4. Step 4: Simplify right side
    23,780x = 2,527,877,284
  5. Step 5: Solve for x
    x = 2,527,877,284/23,780
  6. Step 6: Final answer
    x = 106,302.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.