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Finding the Third Proportional to 38,982 and 58,824

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Solution

The third proportional to 38,982 and 58,824 is: 88,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982 : 58,824 = 58,824 : x
  2. Step 2: Convert to fraction form
    38,982/58,824 = 58,824/x
  3. Step 3: Cross multiply
    38,982x = 58,824 × 58,824
  4. Step 4: Simplify right side
    38,982x = 3,460,262,976
  5. Step 5: Solve for x
    x = 3,460,262,976/38,982
  6. Step 6: Final answer
    x = 88,765.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.