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Finding the Third Proportional to 18,218.25 and 37,830.38

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Solution

The third proportional to 18,218.25 and 37,830.38 is: 78,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218.25 : 37,830.38 = 37,830.38 : x
  2. Step 2: Convert to fraction form
    18,218.25/37,830.38 = 37,830.38/x
  3. Step 3: Cross multiply
    18,218.25x = 37,830.38 × 37,830.38
  4. Step 4: Simplify right side
    18,218.25x = 1,431,137,272.64
  5. Step 5: Solve for x
    x = 1,431,137,272.64/18,218.25
  6. Step 6: Final answer
    x = 78,555.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.