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Finding the Third Proportional to 4,828 and 7,253

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Solution

The third proportional to 4,828 and 7,253 is: 10,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828 : 7,253 = 7,253 : x
  2. Step 2: Convert to fraction form
    4,828/7,253 = 7,253/x
  3. Step 3: Cross multiply
    4,828x = 7,253 × 7,253
  4. Step 4: Simplify right side
    4,828x = 52,606,009
  5. Step 5: Solve for x
    x = 52,606,009/4,828
  6. Step 6: Final answer
    x = 10,896.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.