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Finding the Third Proportional to 23,034 and 50,982

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Solution

The third proportional to 23,034 and 50,982 is: 112,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034 : 50,982 = 50,982 : x
  2. Step 2: Convert to fraction form
    23,034/50,982 = 50,982/x
  3. Step 3: Cross multiply
    23,034x = 50,982 × 50,982
  4. Step 4: Simplify right side
    23,034x = 2,599,164,324
  5. Step 5: Solve for x
    x = 2,599,164,324/23,034
  6. Step 6: Final answer
    x = 112,840.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.