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Finding the Third Proportional to 20,106.56 and 30,121.88

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Solution

The third proportional to 20,106.56 and 30,121.88 is: 45,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.56 : 30,121.88 = 30,121.88 : x
  2. Step 2: Convert to fraction form
    20,106.56/30,121.88 = 30,121.88/x
  3. Step 3: Cross multiply
    20,106.56x = 30,121.88 × 30,121.88
  4. Step 4: Simplify right side
    20,106.56x = 907,327,353.52
  5. Step 5: Solve for x
    x = 907,327,353.52/20,106.56
  6. Step 6: Final answer
    x = 45,125.93

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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.