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Finding the Third Proportional to 18,539 and 27,968.50

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Solution

The third proportional to 18,539 and 27,968.50 is: 42,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539 : 27,968.50 = 27,968.50 : x
  2. Step 2: Convert to fraction form
    18,539/27,968.50 = 27,968.50/x
  3. Step 3: Cross multiply
    18,539x = 27,968.50 × 27,968.50
  4. Step 4: Simplify right side
    18,539x = 782,236,992.25
  5. Step 5: Solve for x
    x = 782,236,992.25/18,539
  6. Step 6: Final answer
    x = 42,194.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.