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Finding the Third Proportional to 17,834 and 38,523

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Solution

The third proportional to 17,834 and 38,523 is: 83,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834 : 38,523 = 38,523 : x
  2. Step 2: Convert to fraction form
    17,834/38,523 = 38,523/x
  3. Step 3: Cross multiply
    17,834x = 38,523 × 38,523
  4. Step 4: Simplify right side
    17,834x = 1,484,021,529
  5. Step 5: Solve for x
    x = 1,484,021,529/17,834
  6. Step 6: Final answer
    x = 83,213.05

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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.