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Finding the Third Proportional to 36,826 and 56,676

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Solution

The third proportional to 36,826 and 56,676 is: 87,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826 : 56,676 = 56,676 : x
  2. Step 2: Convert to fraction form
    36,826/56,676 = 56,676/x
  3. Step 3: Cross multiply
    36,826x = 56,676 × 56,676
  4. Step 4: Simplify right side
    36,826x = 3,212,168,976
  5. Step 5: Solve for x
    x = 3,212,168,976/36,826
  6. Step 6: Final answer
    x = 87,225.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.