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Finding the Third Proportional to 23,079 and 50,429

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Solution

The third proportional to 23,079 and 50,429 is: 110,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,079 : 50,429 = 50,429 : x
  2. Step 2: Convert to fraction form
    23,079/50,429 = 50,429/x
  3. Step 3: Cross multiply
    23,079x = 50,429 × 50,429
  4. Step 4: Simplify right side
    23,079x = 2,543,084,041
  5. Step 5: Solve for x
    x = 2,543,084,041/23,079
  6. Step 6: Final answer
    x = 110,190.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.