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Finding the Third Proportional to 4,977 and 11,253

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Solution

The third proportional to 4,977 and 11,253 is: 25,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 11,253 = 11,253 : x
  2. Step 2: Convert to fraction form
    4,977/11,253 = 11,253/x
  3. Step 3: Cross multiply
    4,977x = 11,253 × 11,253
  4. Step 4: Simplify right side
    4,977x = 126,630,009
  5. Step 5: Solve for x
    x = 126,630,009/4,977
  6. Step 6: Final answer
    x = 25,443.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.