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Finding the Third Proportional to 26,873.50 and 55,927

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Solution

The third proportional to 26,873.50 and 55,927 is: 116,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,873.50 : 55,927 = 55,927 : x
  2. Step 2: Convert to fraction form
    26,873.50/55,927 = 55,927/x
  3. Step 3: Cross multiply
    26,873.50x = 55,927 × 55,927
  4. Step 4: Simplify right side
    26,873.50x = 3,127,829,329
  5. Step 5: Solve for x
    x = 3,127,829,329/26,873.50
  6. Step 6: Final answer
    x = 116,390.84

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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.