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Finding the Third Proportional to 9,288.75 and 19,872.75

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Solution

The third proportional to 9,288.75 and 19,872.75 is: 42,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.75 : 19,872.75 = 19,872.75 : x
  2. Step 2: Convert to fraction form
    9,288.75/19,872.75 = 19,872.75/x
  3. Step 3: Cross multiply
    9,288.75x = 19,872.75 × 19,872.75
  4. Step 4: Simplify right side
    9,288.75x = 394,926,192.56
  5. Step 5: Solve for x
    x = 394,926,192.56/9,288.75
  6. Step 6: Final answer
    x = 42,516.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.