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Finding the Third Proportional to 9,828 and 19,386

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Solution

The third proportional to 9,828 and 19,386 is: 38,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 19,386 = 19,386 : x
  2. Step 2: Convert to fraction form
    9,828/19,386 = 19,386/x
  3. Step 3: Cross multiply
    9,828x = 19,386 × 19,386
  4. Step 4: Simplify right side
    9,828x = 375,816,996
  5. Step 5: Solve for x
    x = 375,816,996/9,828
  6. Step 6: Final answer
    x = 38,239.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.