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Finding the Third Proportional to 20,409.38 and 31,524.23

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Solution

The third proportional to 20,409.38 and 31,524.23 is: 48,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.38 : 31,524.23 = 31,524.23 : x
  2. Step 2: Convert to fraction form
    20,409.38/31,524.23 = 31,524.23/x
  3. Step 3: Cross multiply
    20,409.38x = 31,524.23 × 31,524.23
  4. Step 4: Simplify right side
    20,409.38x = 993,777,352.93
  5. Step 5: Solve for x
    x = 993,777,352.93/20,409.38
  6. Step 6: Final answer
    x = 48,692.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.