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Finding the Third Proportional to 26,825 and 57,763

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Solution

The third proportional to 26,825 and 57,763 is: 124,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825 : 57,763 = 57,763 : x
  2. Step 2: Convert to fraction form
    26,825/57,763 = 57,763/x
  3. Step 3: Cross multiply
    26,825x = 57,763 × 57,763
  4. Step 4: Simplify right side
    26,825x = 3,336,564,169
  5. Step 5: Solve for x
    x = 3,336,564,169/26,825
  6. Step 6: Final answer
    x = 124,382.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.