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Finding the Third Proportional to 12,140 and 18,296

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Solution

The third proportional to 12,140 and 18,296 is: 27,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140 : 18,296 = 18,296 : x
  2. Step 2: Convert to fraction form
    12,140/18,296 = 18,296/x
  3. Step 3: Cross multiply
    12,140x = 18,296 × 18,296
  4. Step 4: Simplify right side
    12,140x = 334,743,616
  5. Step 5: Solve for x
    x = 334,743,616/12,140
  6. Step 6: Final answer
    x = 27,573.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.