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Finding the Third Proportional to 12,043.69 and 18,435.09

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Solution

The third proportional to 12,043.69 and 18,435.09 is: 28,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.69 : 18,435.09 = 18,435.09 : x
  2. Step 2: Convert to fraction form
    12,043.69/18,435.09 = 18,435.09/x
  3. Step 3: Cross multiply
    12,043.69x = 18,435.09 × 18,435.09
  4. Step 4: Simplify right side
    12,043.69x = 339,852,681.57
  5. Step 5: Solve for x
    x = 339,852,681.57/12,043.69
  6. Step 6: Final answer
    x = 28,218.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.