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Finding the Third Proportional to 10,606 and 22,894

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Solution

The third proportional to 10,606 and 22,894 is: 49,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606 : 22,894 = 22,894 : x
  2. Step 2: Convert to fraction form
    10,606/22,894 = 22,894/x
  3. Step 3: Cross multiply
    10,606x = 22,894 × 22,894
  4. Step 4: Simplify right side
    10,606x = 524,135,236
  5. Step 5: Solve for x
    x = 524,135,236/10,606
  6. Step 6: Final answer
    x = 49,418.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.