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Finding the Third Proportional to 26,982 and 56,115

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Solution

The third proportional to 26,982 and 56,115 is: 116,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982 : 56,115 = 56,115 : x
  2. Step 2: Convert to fraction form
    26,982/56,115 = 56,115/x
  3. Step 3: Cross multiply
    26,982x = 56,115 × 56,115
  4. Step 4: Simplify right side
    26,982x = 3,148,893,225
  5. Step 5: Solve for x
    x = 3,148,893,225/26,982
  6. Step 6: Final answer
    x = 116,703.48

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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.