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Finding the Third Proportional to 10,072.88 and 21,951.19

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Solution

The third proportional to 10,072.88 and 21,951.19 is: 47,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.88 : 21,951.19 = 21,951.19 : x
  2. Step 2: Convert to fraction form
    10,072.88/21,951.19 = 21,951.19/x
  3. Step 3: Cross multiply
    10,072.88x = 21,951.19 × 21,951.19
  4. Step 4: Simplify right side
    10,072.88x = 481,854,632.66
  5. Step 5: Solve for x
    x = 481,854,632.66/10,072.88
  6. Step 6: Final answer
    x = 47,836.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.