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Finding the Third Proportional to 3,208 and 7,423

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Solution

The third proportional to 3,208 and 7,423 is: 17,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208 : 7,423 = 7,423 : x
  2. Step 2: Convert to fraction form
    3,208/7,423 = 7,423/x
  3. Step 3: Cross multiply
    3,208x = 7,423 × 7,423
  4. Step 4: Simplify right side
    3,208x = 55,100,929
  5. Step 5: Solve for x
    x = 55,100,929/3,208
  6. Step 6: Final answer
    x = 17,176.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.