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Finding the Third Proportional to 38,932 and 60,824

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Solution

The third proportional to 38,932 and 60,824 is: 95,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,932 : 60,824 = 60,824 : x
  2. Step 2: Convert to fraction form
    38,932/60,824 = 60,824/x
  3. Step 3: Cross multiply
    38,932x = 60,824 × 60,824
  4. Step 4: Simplify right side
    38,932x = 3,699,558,976
  5. Step 5: Solve for x
    x = 3,699,558,976/38,932
  6. Step 6: Final answer
    x = 95,026.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.