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Finding the Third Proportional to 18,536 and 40,384

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Solution

The third proportional to 18,536 and 40,384 is: 87,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536 : 40,384 = 40,384 : x
  2. Step 2: Convert to fraction form
    18,536/40,384 = 40,384/x
  3. Step 3: Cross multiply
    18,536x = 40,384 × 40,384
  4. Step 4: Simplify right side
    18,536x = 1,630,867,456
  5. Step 5: Solve for x
    x = 1,630,867,456/18,536
  6. Step 6: Final answer
    x = 87,983.79

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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.