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Finding the Third Proportional to 20,523.38 and 30,806.58

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Solution

The third proportional to 20,523.38 and 30,806.58 is: 46,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.38 : 30,806.58 = 30,806.58 : x
  2. Step 2: Convert to fraction form
    20,523.38/30,806.58 = 30,806.58/x
  3. Step 3: Cross multiply
    20,523.38x = 30,806.58 × 30,806.58
  4. Step 4: Simplify right side
    20,523.38x = 949,045,255.77
  5. Step 5: Solve for x
    x = 949,045,255.77/20,523.38
  6. Step 6: Final answer
    x = 46,242.16

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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.