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Finding the Third Proportional to 18,714 and 41,582

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Solution

The third proportional to 18,714 and 41,582 is: 92,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714 : 41,582 = 41,582 : x
  2. Step 2: Convert to fraction form
    18,714/41,582 = 41,582/x
  3. Step 3: Cross multiply
    18,714x = 41,582 × 41,582
  4. Step 4: Simplify right side
    18,714x = 1,729,062,724
  5. Step 5: Solve for x
    x = 1,729,062,724/18,714
  6. Step 6: Final answer
    x = 92,394.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.