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Finding the Third Proportional to 18,511 and 40,306

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Solution

The third proportional to 18,511 and 40,306 is: 87,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511 : 40,306 = 40,306 : x
  2. Step 2: Convert to fraction form
    18,511/40,306 = 40,306/x
  3. Step 3: Cross multiply
    18,511x = 40,306 × 40,306
  4. Step 4: Simplify right side
    18,511x = 1,624,573,636
  5. Step 5: Solve for x
    x = 1,624,573,636/18,511
  6. Step 6: Final answer
    x = 87,762.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.