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Finding the Third Proportional to 8,466.94 and 13,185.19

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Solution

The third proportional to 8,466.94 and 13,185.19 is: 20,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.94 : 13,185.19 = 13,185.19 : x
  2. Step 2: Convert to fraction form
    8,466.94/13,185.19 = 13,185.19/x
  3. Step 3: Cross multiply
    8,466.94x = 13,185.19 × 13,185.19
  4. Step 4: Simplify right side
    8,466.94x = 173,849,169.41
  5. Step 5: Solve for x
    x = 173,849,169.41/8,466.94
  6. Step 6: Final answer
    x = 20,532.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.