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Finding the Third Proportional to 12,409 and 27,055

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Solution

The third proportional to 12,409 and 27,055 is: 58,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409 : 27,055 = 27,055 : x
  2. Step 2: Convert to fraction form
    12,409/27,055 = 27,055/x
  3. Step 3: Cross multiply
    12,409x = 27,055 × 27,055
  4. Step 4: Simplify right side
    12,409x = 731,973,025
  5. Step 5: Solve for x
    x = 731,973,025/12,409
  6. Step 6: Final answer
    x = 58,987.27

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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.