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Finding the Third Proportional to 18,764 and 40,039

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Solution

The third proportional to 18,764 and 40,039 is: 85,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764 : 40,039 = 40,039 : x
  2. Step 2: Convert to fraction form
    18,764/40,039 = 40,039/x
  3. Step 3: Cross multiply
    18,764x = 40,039 × 40,039
  4. Step 4: Simplify right side
    18,764x = 1,603,121,521
  5. Step 5: Solve for x
    x = 1,603,121,521/18,764
  6. Step 6: Final answer
    x = 85,436.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.