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Finding the Third Proportional to 18,434 and 41,729

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Solution

The third proportional to 18,434 and 41,729 is: 94,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434 : 41,729 = 41,729 : x
  2. Step 2: Convert to fraction form
    18,434/41,729 = 41,729/x
  3. Step 3: Cross multiply
    18,434x = 41,729 × 41,729
  4. Step 4: Simplify right side
    18,434x = 1,741,309,441
  5. Step 5: Solve for x
    x = 1,741,309,441/18,434
  6. Step 6: Final answer
    x = 94,461.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.