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Finding the Third Proportional to 38,664 and 57,978

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Solution

The third proportional to 38,664 and 57,978 is: 86,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 57,978 = 57,978 : x
  2. Step 2: Convert to fraction form
    38,664/57,978 = 57,978/x
  3. Step 3: Cross multiply
    38,664x = 57,978 × 57,978
  4. Step 4: Simplify right side
    38,664x = 3,361,448,484
  5. Step 5: Solve for x
    x = 3,361,448,484/38,664
  6. Step 6: Final answer
    x = 86,940.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.