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Finding the Third Proportional to 1,644.05 and 3,836.74

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Solution

The third proportional to 1,644.05 and 3,836.74 is: 8,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.05 : 3,836.74 = 3,836.74 : x
  2. Step 2: Convert to fraction form
    1,644.05/3,836.74 = 3,836.74/x
  3. Step 3: Cross multiply
    1,644.05x = 3,836.74 × 3,836.74
  4. Step 4: Simplify right side
    1,644.05x = 14,720,590.61
  5. Step 5: Solve for x
    x = 14,720,590.61/1,644.05
  6. Step 6: Final answer
    x = 8,953.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.