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Finding the Third Proportional to 26,990 and 57,050

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Solution

The third proportional to 26,990 and 57,050 is: 120,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,990 : 57,050 = 57,050 : x
  2. Step 2: Convert to fraction form
    26,990/57,050 = 57,050/x
  3. Step 3: Cross multiply
    26,990x = 57,050 × 57,050
  4. Step 4: Simplify right side
    26,990x = 3,254,702,500
  5. Step 5: Solve for x
    x = 3,254,702,500/26,990
  6. Step 6: Final answer
    x = 120,589.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.