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Finding the Third Proportional to 36,992 and 56,447

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Solution

The third proportional to 36,992 and 56,447 is: 86,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,992 : 56,447 = 56,447 : x
  2. Step 2: Convert to fraction form
    36,992/56,447 = 56,447/x
  3. Step 3: Cross multiply
    36,992x = 56,447 × 56,447
  4. Step 4: Simplify right side
    36,992x = 3,186,263,809
  5. Step 5: Solve for x
    x = 3,186,263,809/36,992
  6. Step 6: Final answer
    x = 86,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.