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Finding the Third Proportional to 12,177 and 18,326.25

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Solution

The third proportional to 12,177 and 18,326.25 is: 27,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177 : 18,326.25 = 18,326.25 : x
  2. Step 2: Convert to fraction form
    12,177/18,326.25 = 18,326.25/x
  3. Step 3: Cross multiply
    12,177x = 18,326.25 × 18,326.25
  4. Step 4: Simplify right side
    12,177x = 335,851,439.06
  5. Step 5: Solve for x
    x = 335,851,439.06/12,177
  6. Step 6: Final answer
    x = 27,580.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.