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Finding the Third Proportional to 10,096.31 and 20,697.19

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Solution

The third proportional to 10,096.31 and 20,697.19 is: 42,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.31 : 20,697.19 = 20,697.19 : x
  2. Step 2: Convert to fraction form
    10,096.31/20,697.19 = 20,697.19/x
  3. Step 3: Cross multiply
    10,096.31x = 20,697.19 × 20,697.19
  4. Step 4: Simplify right side
    10,096.31x = 428,373,570.41
  5. Step 5: Solve for x
    x = 428,373,570.41/10,096.31
  6. Step 6: Final answer
    x = 42,428.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.