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Finding the Third Proportional to 5,978.81 and 9,309.94

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Solution

The third proportional to 5,978.81 and 9,309.94 is: 14,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.81 : 9,309.94 = 9,309.94 : x
  2. Step 2: Convert to fraction form
    5,978.81/9,309.94 = 9,309.94/x
  3. Step 3: Cross multiply
    5,978.81x = 9,309.94 × 9,309.94
  4. Step 4: Simplify right side
    5,978.81x = 86,674,936.25
  5. Step 5: Solve for x
    x = 86,674,936.25/5,978.81
  6. Step 6: Final answer
    x = 14,497.02

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