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Finding the Third Proportional to 11,568.94 and 18,001.69

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Solution

The third proportional to 11,568.94 and 18,001.69 is: 28,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.94 : 18,001.69 = 18,001.69 : x
  2. Step 2: Convert to fraction form
    11,568.94/18,001.69 = 18,001.69/x
  3. Step 3: Cross multiply
    11,568.94x = 18,001.69 × 18,001.69
  4. Step 4: Simplify right side
    11,568.94x = 324,060,752.85
  5. Step 5: Solve for x
    x = 324,060,752.85/11,568.94
  6. Step 6: Final answer
    x = 28,011.28

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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.