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Finding the Third Proportional to 9,836 and 19,174

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Solution

The third proportional to 9,836 and 19,174 is: 37,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836 : 19,174 = 19,174 : x
  2. Step 2: Convert to fraction form
    9,836/19,174 = 19,174/x
  3. Step 3: Cross multiply
    9,836x = 19,174 × 19,174
  4. Step 4: Simplify right side
    9,836x = 367,642,276
  5. Step 5: Solve for x
    x = 367,642,276/9,836
  6. Step 6: Final answer
    x = 37,377.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.