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Finding the Third Proportional to 23,080 and 50,431

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Solution

The third proportional to 23,080 and 50,431 is: 110,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080 : 50,431 = 50,431 : x
  2. Step 2: Convert to fraction form
    23,080/50,431 = 50,431/x
  3. Step 3: Cross multiply
    23,080x = 50,431 × 50,431
  4. Step 4: Simplify right side
    23,080x = 2,543,285,761
  5. Step 5: Solve for x
    x = 2,543,285,761/23,080
  6. Step 6: Final answer
    x = 110,194.36

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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.