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Finding the Third Proportional to 38,994 and 58,839

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Solution

The third proportional to 38,994 and 58,839 is: 88,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,994 : 58,839 = 58,839 : x
  2. Step 2: Convert to fraction form
    38,994/58,839 = 58,839/x
  3. Step 3: Cross multiply
    38,994x = 58,839 × 58,839
  4. Step 4: Simplify right side
    38,994x = 3,462,027,921
  5. Step 5: Solve for x
    x = 3,462,027,921/38,994
  6. Step 6: Final answer
    x = 88,783.61

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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.