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Finding the Third Proportional to 10,947.75 and 24,082.50

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Solution

The third proportional to 10,947.75 and 24,082.50 is: 52,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.75 : 24,082.50 = 24,082.50 : x
  2. Step 2: Convert to fraction form
    10,947.75/24,082.50 = 24,082.50/x
  3. Step 3: Cross multiply
    10,947.75x = 24,082.50 × 24,082.50
  4. Step 4: Simplify right side
    10,947.75x = 579,966,806.25
  5. Step 5: Solve for x
    x = 579,966,806.25/10,947.75
  6. Step 6: Final answer
    x = 52,975.89

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