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Finding the Third Proportional to 26,702 and 56,695

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Solution

The third proportional to 26,702 and 56,695 is: 120,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702 : 56,695 = 56,695 : x
  2. Step 2: Convert to fraction form
    26,702/56,695 = 56,695/x
  3. Step 3: Cross multiply
    26,702x = 56,695 × 56,695
  4. Step 4: Simplify right side
    26,702x = 3,214,323,025
  5. Step 5: Solve for x
    x = 3,214,323,025/26,702
  6. Step 6: Final answer
    x = 120,377.61

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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.