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Finding the Third Proportional to 10,256.91 and 20,475.56

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Solution

The third proportional to 10,256.91 and 20,475.56 is: 40,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.91 : 20,475.56 = 20,475.56 : x
  2. Step 2: Convert to fraction form
    10,256.91/20,475.56 = 20,475.56/x
  3. Step 3: Cross multiply
    10,256.91x = 20,475.56 × 20,475.56
  4. Step 4: Simplify right side
    10,256.91x = 419,248,659.69
  5. Step 5: Solve for x
    x = 419,248,659.69/10,256.91
  6. Step 6: Final answer
    x = 40,874.77

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.