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Finding the Third Proportional to 11,635.52 and 16,450.91

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Solution

The third proportional to 11,635.52 and 16,450.91 is: 23,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.52 : 16,450.91 = 16,450.91 : x
  2. Step 2: Convert to fraction form
    11,635.52/16,450.91 = 16,450.91/x
  3. Step 3: Cross multiply
    11,635.52x = 16,450.91 × 16,450.91
  4. Step 4: Simplify right side
    11,635.52x = 270,632,444.97
  5. Step 5: Solve for x
    x = 270,632,444.97/11,635.52
  6. Step 6: Final answer
    x = 23,259.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.