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Finding the Third Proportional to 9,447.75 and 11,553.75

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Solution

The third proportional to 9,447.75 and 11,553.75 is: 14,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.75 : 11,553.75 = 11,553.75 : x
  2. Step 2: Convert to fraction form
    9,447.75/11,553.75 = 11,553.75/x
  3. Step 3: Cross multiply
    9,447.75x = 11,553.75 × 11,553.75
  4. Step 4: Simplify right side
    9,447.75x = 133,489,139.06
  5. Step 5: Solve for x
    x = 133,489,139.06/9,447.75
  6. Step 6: Final answer
    x = 14,129.20

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.