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Finding the Third Proportional to 4,928 and 9,208

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Solution

The third proportional to 4,928 and 9,208 is: 17,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928 : 9,208 = 9,208 : x
  2. Step 2: Convert to fraction form
    4,928/9,208 = 9,208/x
  3. Step 3: Cross multiply
    4,928x = 9,208 × 9,208
  4. Step 4: Simplify right side
    4,928x = 84,787,264
  5. Step 5: Solve for x
    x = 84,787,264/4,928
  6. Step 6: Final answer
    x = 17,205.21

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.