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Finding the Third Proportional to 9,465 and 20,811

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Solution

The third proportional to 9,465 and 20,811 is: 45,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465 : 20,811 = 20,811 : x
  2. Step 2: Convert to fraction form
    9,465/20,811 = 20,811/x
  3. Step 3: Cross multiply
    9,465x = 20,811 × 20,811
  4. Step 4: Simplify right side
    9,465x = 433,097,721
  5. Step 5: Solve for x
    x = 433,097,721/9,465
  6. Step 6: Final answer
    x = 45,757.82

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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.