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Finding the Third Proportional to 1,681.86 and 3,447.72

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Solution

The third proportional to 1,681.86 and 3,447.72 is: 7,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.86 : 3,447.72 = 3,447.72 : x
  2. Step 2: Convert to fraction form
    1,681.86/3,447.72 = 3,447.72/x
  3. Step 3: Cross multiply
    1,681.86x = 3,447.72 × 3,447.72
  4. Step 4: Simplify right side
    1,681.86x = 11,886,778.05
  5. Step 5: Solve for x
    x = 11,886,778.05/1,681.86
  6. Step 6: Final answer
    x = 7,067.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.