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Finding the Third Proportional to 4,160.81 and 6,326.44

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Solution

The third proportional to 4,160.81 and 6,326.44 is: 9,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.81 : 6,326.44 = 6,326.44 : x
  2. Step 2: Convert to fraction form
    4,160.81/6,326.44 = 6,326.44/x
  3. Step 3: Cross multiply
    4,160.81x = 6,326.44 × 6,326.44
  4. Step 4: Simplify right side
    4,160.81x = 40,023,811.44
  5. Step 5: Solve for x
    x = 40,023,811.44/4,160.81
  6. Step 6: Final answer
    x = 9,619.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.