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Finding the Third Proportional to 26,324 and 36,190

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Solution

The third proportional to 26,324 and 36,190 is: 49,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324 : 36,190 = 36,190 : x
  2. Step 2: Convert to fraction form
    26,324/36,190 = 36,190/x
  3. Step 3: Cross multiply
    26,324x = 36,190 × 36,190
  4. Step 4: Simplify right side
    26,324x = 1,309,716,100
  5. Step 5: Solve for x
    x = 1,309,716,100/26,324
  6. Step 6: Final answer
    x = 49,753.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.