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Finding the Third Proportional to 11,793.38 and 16,025.06

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Solution

The third proportional to 11,793.38 and 16,025.06 is: 21,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.38 : 16,025.06 = 16,025.06 : x
  2. Step 2: Convert to fraction form
    11,793.38/16,025.06 = 16,025.06/x
  3. Step 3: Cross multiply
    11,793.38x = 16,025.06 × 16,025.06
  4. Step 4: Simplify right side
    11,793.38x = 256,802,628.13
  5. Step 5: Solve for x
    x = 256,802,628.13/11,793.38
  6. Step 6: Final answer
    x = 21,775.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.