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Finding the Third Proportional to 6,826.78 and 10,854.84

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Solution

The third proportional to 6,826.78 and 10,854.84 is: 17,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.78 : 10,854.84 = 10,854.84 : x
  2. Step 2: Convert to fraction form
    6,826.78/10,854.84 = 10,854.84/x
  3. Step 3: Cross multiply
    6,826.78x = 10,854.84 × 10,854.84
  4. Step 4: Simplify right side
    6,826.78x = 117,827,632.84
  5. Step 5: Solve for x
    x = 117,827,632.84/6,826.78
  6. Step 6: Final answer
    x = 17,259.62

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