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Finding the Third Proportional to 9,434 and 20,740

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Solution

The third proportional to 9,434 and 20,740 is: 45,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434 : 20,740 = 20,740 : x
  2. Step 2: Convert to fraction form
    9,434/20,740 = 20,740/x
  3. Step 3: Cross multiply
    9,434x = 20,740 × 20,740
  4. Step 4: Simplify right side
    9,434x = 430,147,600
  5. Step 5: Solve for x
    x = 430,147,600/9,434
  6. Step 6: Final answer
    x = 45,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.