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Finding the Third Proportional to 12,177 and 18,595.50

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Solution

The third proportional to 12,177 and 18,595.50 is: 28,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177 : 18,595.50 = 18,595.50 : x
  2. Step 2: Convert to fraction form
    12,177/18,595.50 = 18,595.50/x
  3. Step 3: Cross multiply
    12,177x = 18,595.50 × 18,595.50
  4. Step 4: Simplify right side
    12,177x = 345,792,620.25
  5. Step 5: Solve for x
    x = 345,792,620.25/12,177
  6. Step 6: Final answer
    x = 28,397.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.