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Finding the Third Proportional to 26,178 and 41,695

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Solution

The third proportional to 26,178 and 41,695 is: 66,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178 : 41,695 = 41,695 : x
  2. Step 2: Convert to fraction form
    26,178/41,695 = 41,695/x
  3. Step 3: Cross multiply
    26,178x = 41,695 × 41,695
  4. Step 4: Simplify right side
    26,178x = 1,738,473,025
  5. Step 5: Solve for x
    x = 1,738,473,025/26,178
  6. Step 6: Final answer
    x = 66,409.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.