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Finding the Third Proportional to 3,670.31 and 4,609.41

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Solution

The third proportional to 3,670.31 and 4,609.41 is: 5,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.31 : 4,609.41 = 4,609.41 : x
  2. Step 2: Convert to fraction form
    3,670.31/4,609.41 = 4,609.41/x
  3. Step 3: Cross multiply
    3,670.31x = 4,609.41 × 4,609.41
  4. Step 4: Simplify right side
    3,670.31x = 21,246,625.98
  5. Step 5: Solve for x
    x = 21,246,625.98/3,670.31
  6. Step 6: Final answer
    x = 5,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.