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Finding the Third Proportional to 1,839.38 and 3,803.63

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Solution

The third proportional to 1,839.38 and 3,803.63 is: 7,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.38 : 3,803.63 = 3,803.63 : x
  2. Step 2: Convert to fraction form
    1,839.38/3,803.63 = 3,803.63/x
  3. Step 3: Cross multiply
    1,839.38x = 3,803.63 × 3,803.63
  4. Step 4: Simplify right side
    1,839.38x = 14,467,563.14
  5. Step 5: Solve for x
    x = 14,467,563.14/1,839.38
  6. Step 6: Final answer
    x = 7,865.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.