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Finding the Third Proportional to 27,698 and 60,412

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Solution

The third proportional to 27,698 and 60,412 is: 131,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698 : 60,412 = 60,412 : x
  2. Step 2: Convert to fraction form
    27,698/60,412 = 60,412/x
  3. Step 3: Cross multiply
    27,698x = 60,412 × 60,412
  4. Step 4: Simplify right side
    27,698x = 3,649,609,744
  5. Step 5: Solve for x
    x = 3,649,609,744/27,698
  6. Step 6: Final answer
    x = 131,764.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.