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Finding the Third Proportional to 18,496 and 37,696

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Solution

The third proportional to 18,496 and 37,696 is: 76,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 37,696 = 37,696 : x
  2. Step 2: Convert to fraction form
    18,496/37,696 = 37,696/x
  3. Step 3: Cross multiply
    18,496x = 37,696 × 37,696
  4. Step 4: Simplify right side
    18,496x = 1,420,988,416
  5. Step 5: Solve for x
    x = 1,420,988,416/18,496
  6. Step 6: Final answer
    x = 76,826.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.