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Finding the Third Proportional to 27,867 and 59,619

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Solution

The third proportional to 27,867 and 59,619 is: 127,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867 : 59,619 = 59,619 : x
  2. Step 2: Convert to fraction form
    27,867/59,619 = 59,619/x
  3. Step 3: Cross multiply
    27,867x = 59,619 × 59,619
  4. Step 4: Simplify right side
    27,867x = 3,554,425,161
  5. Step 5: Solve for x
    x = 3,554,425,161/27,867
  6. Step 6: Final answer
    x = 127,549.62

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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.