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Finding the Third Proportional to 7,938 and 18,803.25

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Solution

The third proportional to 7,938 and 18,803.25 is: 44,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 18,803.25 = 18,803.25 : x
  2. Step 2: Convert to fraction form
    7,938/18,803.25 = 18,803.25/x
  3. Step 3: Cross multiply
    7,938x = 18,803.25 × 18,803.25
  4. Step 4: Simplify right side
    7,938x = 353,562,210.56
  5. Step 5: Solve for x
    x = 353,562,210.56/7,938
  6. Step 6: Final answer
    x = 44,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.