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Finding the Third Proportional to 18,034 and 39,346

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Solution

The third proportional to 18,034 and 39,346 is: 85,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034 : 39,346 = 39,346 : x
  2. Step 2: Convert to fraction form
    18,034/39,346 = 39,346/x
  3. Step 3: Cross multiply
    18,034x = 39,346 × 39,346
  4. Step 4: Simplify right side
    18,034x = 1,548,107,716
  5. Step 5: Solve for x
    x = 1,548,107,716/18,034
  6. Step 6: Final answer
    x = 85,843.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.