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Finding the Third Proportional to 1,853.81 and 4,022.63

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Solution

The third proportional to 1,853.81 and 4,022.63 is: 8,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.81 : 4,022.63 = 4,022.63 : x
  2. Step 2: Convert to fraction form
    1,853.81/4,022.63 = 4,022.63/x
  3. Step 3: Cross multiply
    1,853.81x = 4,022.63 × 4,022.63
  4. Step 4: Simplify right side
    1,853.81x = 16,181,511.89
  5. Step 5: Solve for x
    x = 16,181,511.89/1,853.81
  6. Step 6: Final answer
    x = 8,728.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.