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Finding the Third Proportional to 18,756 and 40,098

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Solution

The third proportional to 18,756 and 40,098 is: 85,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,756 : 40,098 = 40,098 : x
  2. Step 2: Convert to fraction form
    18,756/40,098 = 40,098/x
  3. Step 3: Cross multiply
    18,756x = 40,098 × 40,098
  4. Step 4: Simplify right side
    18,756x = 1,607,849,604
  5. Step 5: Solve for x
    x = 1,607,849,604/18,756
  6. Step 6: Final answer
    x = 85,724.55

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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.