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Finding the Third Proportional to 18,846 and 40,554

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Solution

The third proportional to 18,846 and 40,554 is: 87,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846 : 40,554 = 40,554 : x
  2. Step 2: Convert to fraction form
    18,846/40,554 = 40,554/x
  3. Step 3: Cross multiply
    18,846x = 40,554 × 40,554
  4. Step 4: Simplify right side
    18,846x = 1,644,626,916
  5. Step 5: Solve for x
    x = 1,644,626,916/18,846
  6. Step 6: Final answer
    x = 87,266.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.