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Finding the Third Proportional to 9,414.47 and 20,286.94

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Solution

The third proportional to 9,414.47 and 20,286.94 is: 43,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.47 : 20,286.94 = 20,286.94 : x
  2. Step 2: Convert to fraction form
    9,414.47/20,286.94 = 20,286.94/x
  3. Step 3: Cross multiply
    9,414.47x = 20,286.94 × 20,286.94
  4. Step 4: Simplify right side
    9,414.47x = 411,559,833.13
  5. Step 5: Solve for x
    x = 411,559,833.13/9,414.47
  6. Step 6: Final answer
    x = 43,715.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.