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Finding the Third Proportional to 17,767 and 38,299

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Solution

The third proportional to 17,767 and 38,299 is: 82,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767 : 38,299 = 38,299 : x
  2. Step 2: Convert to fraction form
    17,767/38,299 = 38,299/x
  3. Step 3: Cross multiply
    17,767x = 38,299 × 38,299
  4. Step 4: Simplify right side
    17,767x = 1,466,813,401
  5. Step 5: Solve for x
    x = 1,466,813,401/17,767
  6. Step 6: Final answer
    x = 82,558.30

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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.