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Finding the Third Proportional to 26,971 and 56,101

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Solution

The third proportional to 26,971 and 56,101 is: 116,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,971 : 56,101 = 56,101 : x
  2. Step 2: Convert to fraction form
    26,971/56,101 = 56,101/x
  3. Step 3: Cross multiply
    26,971x = 56,101 × 56,101
  4. Step 4: Simplify right side
    26,971x = 3,147,322,201
  5. Step 5: Solve for x
    x = 3,147,322,201/26,971
  6. Step 6: Final answer
    x = 116,692.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.