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Finding the Third Proportional to 18,029 and 37,435

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Solution

The third proportional to 18,029 and 37,435 is: 77,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029 : 37,435 = 37,435 : x
  2. Step 2: Convert to fraction form
    18,029/37,435 = 37,435/x
  3. Step 3: Cross multiply
    18,029x = 37,435 × 37,435
  4. Step 4: Simplify right side
    18,029x = 1,401,379,225
  5. Step 5: Solve for x
    x = 1,401,379,225/18,029
  6. Step 6: Final answer
    x = 77,729.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.