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Finding the Third Proportional to 12,177.84 and 26,589.09

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Solution

The third proportional to 12,177.84 and 26,589.09 is: 58,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.84 : 26,589.09 = 26,589.09 : x
  2. Step 2: Convert to fraction form
    12,177.84/26,589.09 = 26,589.09/x
  3. Step 3: Cross multiply
    12,177.84x = 26,589.09 × 26,589.09
  4. Step 4: Simplify right side
    12,177.84x = 706,979,906.45
  5. Step 5: Solve for x
    x = 706,979,906.45/12,177.84
  6. Step 6: Final answer
    x = 58,054.60

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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.