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Finding the Third Proportional to 3,968.92 and 8,675.74

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Solution

The third proportional to 3,968.92 and 8,675.74 is: 18,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.92 : 8,675.74 = 8,675.74 : x
  2. Step 2: Convert to fraction form
    3,968.92/8,675.74 = 8,675.74/x
  3. Step 3: Cross multiply
    3,968.92x = 8,675.74 × 8,675.74
  4. Step 4: Simplify right side
    3,968.92x = 75,268,477.09
  5. Step 5: Solve for x
    x = 75,268,477.09/3,968.92
  6. Step 6: Final answer
    x = 18,964.47

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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.