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Finding the Third Proportional to 17,823 and 38,469

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Solution

The third proportional to 17,823 and 38,469 is: 83,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 38,469 = 38,469 : x
  2. Step 2: Convert to fraction form
    17,823/38,469 = 38,469/x
  3. Step 3: Cross multiply
    17,823x = 38,469 × 38,469
  4. Step 4: Simplify right side
    17,823x = 1,479,863,961
  5. Step 5: Solve for x
    x = 1,479,863,961/17,823
  6. Step 6: Final answer
    x = 83,031.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.