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Finding the Third Proportional to 27,867 and 38,980.50

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Solution

The third proportional to 27,867 and 38,980.50 is: 54,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867 : 38,980.50 = 38,980.50 : x
  2. Step 2: Convert to fraction form
    27,867/38,980.50 = 38,980.50/x
  3. Step 3: Cross multiply
    27,867x = 38,980.50 × 38,980.50
  4. Step 4: Simplify right side
    27,867x = 1,519,479,380.25
  5. Step 5: Solve for x
    x = 1,519,479,380.25/27,867
  6. Step 6: Final answer
    x = 54,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.