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Finding the Third Proportional to 18,539 and 43,744.50

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Solution

The third proportional to 18,539 and 43,744.50 is: 103,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539 : 43,744.50 = 43,744.50 : x
  2. Step 2: Convert to fraction form
    18,539/43,744.50 = 43,744.50/x
  3. Step 3: Cross multiply
    18,539x = 43,744.50 × 43,744.50
  4. Step 4: Simplify right side
    18,539x = 1,913,581,280.25
  5. Step 5: Solve for x
    x = 1,913,581,280.25/18,539
  6. Step 6: Final answer
    x = 103,219.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.