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Finding the Third Proportional to 18,029 and 38,549

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Solution

The third proportional to 18,029 and 38,549 is: 82,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029 : 38,549 = 38,549 : x
  2. Step 2: Convert to fraction form
    18,029/38,549 = 38,549/x
  3. Step 3: Cross multiply
    18,029x = 38,549 × 38,549
  4. Step 4: Simplify right side
    18,029x = 1,486,025,401
  5. Step 5: Solve for x
    x = 1,486,025,401/18,029
  6. Step 6: Final answer
    x = 82,424.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.