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Finding the Third Proportional to 13,596.61 and 20,332.27

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Solution

The third proportional to 13,596.61 and 20,332.27 is: 30,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.61 : 20,332.27 = 20,332.27 : x
  2. Step 2: Convert to fraction form
    13,596.61/20,332.27 = 20,332.27/x
  3. Step 3: Cross multiply
    13,596.61x = 20,332.27 × 20,332.27
  4. Step 4: Simplify right side
    13,596.61x = 413,401,025.45
  5. Step 5: Solve for x
    x = 413,401,025.45/13,596.61
  6. Step 6: Final answer
    x = 30,404.71

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