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Finding the Third Proportional to 27,678 and 59,943

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Solution

The third proportional to 27,678 and 59,943 is: 129,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678 : 59,943 = 59,943 : x
  2. Step 2: Convert to fraction form
    27,678/59,943 = 59,943/x
  3. Step 3: Cross multiply
    27,678x = 59,943 × 59,943
  4. Step 4: Simplify right side
    27,678x = 3,593,163,249
  5. Step 5: Solve for x
    x = 3,593,163,249/27,678
  6. Step 6: Final answer
    x = 129,820.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.