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Finding the Third Proportional to 17,836 and 19,756

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Solution

The third proportional to 17,836 and 19,756 is: 21,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836 : 19,756 = 19,756 : x
  2. Step 2: Convert to fraction form
    17,836/19,756 = 19,756/x
  3. Step 3: Cross multiply
    17,836x = 19,756 × 19,756
  4. Step 4: Simplify right side
    17,836x = 390,299,536
  5. Step 5: Solve for x
    x = 390,299,536/17,836
  6. Step 6: Final answer
    x = 21,882.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.