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Finding the Third Proportional to 16,208 and 35,344

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Solution

The third proportional to 16,208 and 35,344 is: 77,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208 : 35,344 = 35,344 : x
  2. Step 2: Convert to fraction form
    16,208/35,344 = 35,344/x
  3. Step 3: Cross multiply
    16,208x = 35,344 × 35,344
  4. Step 4: Simplify right side
    16,208x = 1,249,198,336
  5. Step 5: Solve for x
    x = 1,249,198,336/16,208
  6. Step 6: Final answer
    x = 77,072.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.