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Finding the Third Proportional to 10,561 and 22,966

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Solution

The third proportional to 10,561 and 22,966 is: 49,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561 : 22,966 = 22,966 : x
  2. Step 2: Convert to fraction form
    10,561/22,966 = 22,966/x
  3. Step 3: Cross multiply
    10,561x = 22,966 × 22,966
  4. Step 4: Simplify right side
    10,561x = 527,437,156
  5. Step 5: Solve for x
    x = 527,437,156/10,561
  6. Step 6: Final answer
    x = 49,941.97

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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.