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Finding the Third Proportional to 36,198 and 56,842

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Solution

The third proportional to 36,198 and 56,842 is: 89,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,198 : 56,842 = 56,842 : x
  2. Step 2: Convert to fraction form
    36,198/56,842 = 56,842/x
  3. Step 3: Cross multiply
    36,198x = 56,842 × 56,842
  4. Step 4: Simplify right side
    36,198x = 3,231,012,964
  5. Step 5: Solve for x
    x = 3,231,012,964/36,198
  6. Step 6: Final answer
    x = 89,259.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.