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Finding the Third Proportional to 4,448 and 9,760

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Solution

The third proportional to 4,448 and 9,760 is: 21,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448 : 9,760 = 9,760 : x
  2. Step 2: Convert to fraction form
    4,448/9,760 = 9,760/x
  3. Step 3: Cross multiply
    4,448x = 9,760 × 9,760
  4. Step 4: Simplify right side
    4,448x = 95,257,600
  5. Step 5: Solve for x
    x = 95,257,600/4,448
  6. Step 6: Final answer
    x = 21,415.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.