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Finding the Third Proportional to 1,845.28 and 4,049.37

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Solution

The third proportional to 1,845.28 and 4,049.37 is: 8,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.28 : 4,049.37 = 4,049.37 : x
  2. Step 2: Convert to fraction form
    1,845.28/4,049.37 = 4,049.37/x
  3. Step 3: Cross multiply
    1,845.28x = 4,049.37 × 4,049.37
  4. Step 4: Simplify right side
    1,845.28x = 16,397,374.62
  5. Step 5: Solve for x
    x = 16,397,374.62/1,845.28
  6. Step 6: Final answer
    x = 8,886.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.