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Finding the Third Proportional to 2,257 and 4,884

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Solution

The third proportional to 2,257 and 4,884 is: 10,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257 : 4,884 = 4,884 : x
  2. Step 2: Convert to fraction form
    2,257/4,884 = 4,884/x
  3. Step 3: Cross multiply
    2,257x = 4,884 × 4,884
  4. Step 4: Simplify right side
    2,257x = 23,853,456
  5. Step 5: Solve for x
    x = 23,853,456/2,257
  6. Step 6: Final answer
    x = 10,568.66

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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.