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Finding the Third Proportional to 1,803.94 and 4,336.03

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Solution

The third proportional to 1,803.94 and 4,336.03 is: 10,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.94 : 4,336.03 = 4,336.03 : x
  2. Step 2: Convert to fraction form
    1,803.94/4,336.03 = 4,336.03/x
  3. Step 3: Cross multiply
    1,803.94x = 4,336.03 × 4,336.03
  4. Step 4: Simplify right side
    1,803.94x = 18,801,167.00
  5. Step 5: Solve for x
    x = 18,801,167.00/1,803.94
  6. Step 6: Final answer
    x = 10,422.29

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.