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Finding the Third Proportional to 1,832.63 and 4,006.97

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Solution

The third proportional to 1,832.63 and 4,006.97 is: 8,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.63 : 4,006.97 = 4,006.97 : x
  2. Step 2: Convert to fraction form
    1,832.63/4,006.97 = 4,006.97/x
  3. Step 3: Cross multiply
    1,832.63x = 4,006.97 × 4,006.97
  4. Step 4: Simplify right side
    1,832.63x = 16,055,798.56
  5. Step 5: Solve for x
    x = 16,055,798.56/1,832.63
  6. Step 6: Final answer
    x = 8,761.09

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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.