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Finding the Third Proportional to 26,582 and 56,233

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Solution

The third proportional to 26,582 and 56,233 is: 118,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582 : 56,233 = 56,233 : x
  2. Step 2: Convert to fraction form
    26,582/56,233 = 56,233/x
  3. Step 3: Cross multiply
    26,582x = 56,233 × 56,233
  4. Step 4: Simplify right side
    26,582x = 3,162,150,289
  5. Step 5: Solve for x
    x = 3,162,150,289/26,582
  6. Step 6: Final answer
    x = 118,958.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.