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Finding the Third Proportional to 1,934.44 and 3,551.63

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Solution

The third proportional to 1,934.44 and 3,551.63 is: 6,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.44 : 3,551.63 = 3,551.63 : x
  2. Step 2: Convert to fraction form
    1,934.44/3,551.63 = 3,551.63/x
  3. Step 3: Cross multiply
    1,934.44x = 3,551.63 × 3,551.63
  4. Step 4: Simplify right side
    1,934.44x = 12,614,040.14
  5. Step 5: Solve for x
    x = 12,614,040.14/1,934.44
  6. Step 6: Final answer
    x = 6,520.78

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.