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Finding the Third Proportional to 12,409 and 27,050

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Solution

The third proportional to 12,409 and 27,050 is: 58,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409 : 27,050 = 27,050 : x
  2. Step 2: Convert to fraction form
    12,409/27,050 = 27,050/x
  3. Step 3: Cross multiply
    12,409x = 27,050 × 27,050
  4. Step 4: Simplify right side
    12,409x = 731,702,500
  5. Step 5: Solve for x
    x = 731,702,500/12,409
  6. Step 6: Final answer
    x = 58,965.47

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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.