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Finding the Third Proportional to 26,857 and 59,077

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Solution

The third proportional to 26,857 and 59,077 is: 129,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857 : 59,077 = 59,077 : x
  2. Step 2: Convert to fraction form
    26,857/59,077 = 59,077/x
  3. Step 3: Cross multiply
    26,857x = 59,077 × 59,077
  4. Step 4: Simplify right side
    26,857x = 3,490,091,929
  5. Step 5: Solve for x
    x = 3,490,091,929/26,857
  6. Step 6: Final answer
    x = 129,950.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.