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Finding the Third Proportional to 9,083.63 and 13,634.63

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Solution

The third proportional to 9,083.63 and 13,634.63 is: 20,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.63 : 13,634.63 = 13,634.63 : x
  2. Step 2: Convert to fraction form
    9,083.63/13,634.63 = 13,634.63/x
  3. Step 3: Cross multiply
    9,083.63x = 13,634.63 × 13,634.63
  4. Step 4: Simplify right side
    9,083.63x = 185,902,998.89
  5. Step 5: Solve for x
    x = 185,902,998.89/9,083.63
  6. Step 6: Final answer
    x = 20,465.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.