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Finding the Third Proportional to 26,706 and 61,825

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Solution

The third proportional to 26,706 and 61,825 is: 143,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706 : 61,825 = 61,825 : x
  2. Step 2: Convert to fraction form
    26,706/61,825 = 61,825/x
  3. Step 3: Cross multiply
    26,706x = 61,825 × 61,825
  4. Step 4: Simplify right side
    26,706x = 3,822,330,625
  5. Step 5: Solve for x
    x = 3,822,330,625/26,706
  6. Step 6: Final answer
    x = 143,126.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.