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Finding the Third Proportional to 12,286.69 and 14,230.69

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Solution

The third proportional to 12,286.69 and 14,230.69 is: 16,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 14,230.69 = 14,230.69 : x
  2. Step 2: Convert to fraction form
    12,286.69/14,230.69 = 14,230.69/x
  3. Step 3: Cross multiply
    12,286.69x = 14,230.69 × 14,230.69
  4. Step 4: Simplify right side
    12,286.69x = 202,512,466.72
  5. Step 5: Solve for x
    x = 202,512,466.72/12,286.69
  6. Step 6: Final answer
    x = 16,482.27

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.