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Finding the Third Proportional to 36,396 and 56,241

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Solution

The third proportional to 36,396 and 56,241 is: 86,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,396 : 56,241 = 56,241 : x
  2. Step 2: Convert to fraction form
    36,396/56,241 = 56,241/x
  3. Step 3: Cross multiply
    36,396x = 56,241 × 56,241
  4. Step 4: Simplify right side
    36,396x = 3,163,050,081
  5. Step 5: Solve for x
    x = 3,163,050,081/36,396
  6. Step 6: Final answer
    x = 86,906.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.