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Finding the Third Proportional to 12,177 and 16,283.25

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Solution

The third proportional to 12,177 and 16,283.25 is: 21,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177 : 16,283.25 = 16,283.25 : x
  2. Step 2: Convert to fraction form
    12,177/16,283.25 = 16,283.25/x
  3. Step 3: Cross multiply
    12,177x = 16,283.25 × 16,283.25
  4. Step 4: Simplify right side
    12,177x = 265,144,230.56
  5. Step 5: Solve for x
    x = 265,144,230.56/12,177
  6. Step 6: Final answer
    x = 21,774.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.