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Finding the Third Proportional to 12,043.69 and 12,876.75

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Solution

The third proportional to 12,043.69 and 12,876.75 is: 13,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.69 : 12,876.75 = 12,876.75 : x
  2. Step 2: Convert to fraction form
    12,043.69/12,876.75 = 12,876.75/x
  3. Step 3: Cross multiply
    12,043.69x = 12,876.75 × 12,876.75
  4. Step 4: Simplify right side
    12,043.69x = 165,810,690.56
  5. Step 5: Solve for x
    x = 165,810,690.56/12,043.69
  6. Step 6: Final answer
    x = 13,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.