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Finding the Third Proportional to 18,046 and 43,474

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Solution

The third proportional to 18,046 and 43,474 is: 104,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046 : 43,474 = 43,474 : x
  2. Step 2: Convert to fraction form
    18,046/43,474 = 43,474/x
  3. Step 3: Cross multiply
    18,046x = 43,474 × 43,474
  4. Step 4: Simplify right side
    18,046x = 1,889,988,676
  5. Step 5: Solve for x
    x = 1,889,988,676/18,046
  6. Step 6: Final answer
    x = 104,731.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.