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Finding the Third Proportional to 10,576 and 22,961

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Solution

The third proportional to 10,576 and 22,961 is: 49,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576 : 22,961 = 22,961 : x
  2. Step 2: Convert to fraction form
    10,576/22,961 = 22,961/x
  3. Step 3: Cross multiply
    10,576x = 22,961 × 22,961
  4. Step 4: Simplify right side
    10,576x = 527,207,521
  5. Step 5: Solve for x
    x = 527,207,521/10,576
  6. Step 6: Final answer
    x = 49,849.43

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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.