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Finding the Third Proportional to 4,829 and 7,244

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Solution

The third proportional to 4,829 and 7,244 is: 10,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829 : 7,244 = 7,244 : x
  2. Step 2: Convert to fraction form
    4,829/7,244 = 7,244/x
  3. Step 3: Cross multiply
    4,829x = 7,244 × 7,244
  4. Step 4: Simplify right side
    4,829x = 52,475,536
  5. Step 5: Solve for x
    x = 52,475,536/4,829
  6. Step 6: Final answer
    x = 10,866.75

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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.