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Finding the Third Proportional to 12,182.91 and 18,450.28

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Solution

The third proportional to 12,182.91 and 18,450.28 is: 27,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.91 : 18,450.28 = 18,450.28 : x
  2. Step 2: Convert to fraction form
    12,182.91/18,450.28 = 18,450.28/x
  3. Step 3: Cross multiply
    12,182.91x = 18,450.28 × 18,450.28
  4. Step 4: Simplify right side
    12,182.91x = 340,412,878.20
  5. Step 5: Solve for x
    x = 340,412,878.20/12,182.91
  6. Step 6: Final answer
    x = 27,941.85

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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.