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Finding the Third Proportional to 5,970.75 and 12,978.38

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Solution

The third proportional to 5,970.75 and 12,978.38 is: 28,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.75 : 12,978.38 = 12,978.38 : x
  2. Step 2: Convert to fraction form
    5,970.75/12,978.38 = 12,978.38/x
  3. Step 3: Cross multiply
    5,970.75x = 12,978.38 × 12,978.38
  4. Step 4: Simplify right side
    5,970.75x = 168,438,217.64
  5. Step 5: Solve for x
    x = 168,438,217.64/5,970.75
  6. Step 6: Final answer
    x = 28,210.56

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