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Finding the Third Proportional to 872.88 and 1,882.44

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Solution

The third proportional to 872.88 and 1,882.44 is: 4,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,882.44 = 1,882.44 : x
  2. Step 2: Convert to fraction form
    872.88/1,882.44 = 1,882.44/x
  3. Step 3: Cross multiply
    872.88x = 1,882.44 × 1,882.44
  4. Step 4: Simplify right side
    872.88x = 3,543,570.94
  5. Step 5: Solve for x
    x = 3,543,570.94/872.88
  6. Step 6: Final answer
    x = 4,059.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.