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Finding the Third Proportional to 9,541 and 20,669

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Solution

The third proportional to 9,541 and 20,669 is: 44,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541 : 20,669 = 20,669 : x
  2. Step 2: Convert to fraction form
    9,541/20,669 = 20,669/x
  3. Step 3: Cross multiply
    9,541x = 20,669 × 20,669
  4. Step 4: Simplify right side
    9,541x = 427,207,561
  5. Step 5: Solve for x
    x = 427,207,561/9,541
  6. Step 6: Final answer
    x = 44,775.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.