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Finding the Third Proportional to 26,826 and 57,117

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Solution

The third proportional to 26,826 and 57,117 is: 121,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826 : 57,117 = 57,117 : x
  2. Step 2: Convert to fraction form
    26,826/57,117 = 57,117/x
  3. Step 3: Cross multiply
    26,826x = 57,117 × 57,117
  4. Step 4: Simplify right side
    26,826x = 3,262,351,689
  5. Step 5: Solve for x
    x = 3,262,351,689/26,826
  6. Step 6: Final answer
    x = 121,611.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.