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Finding the Third Proportional to 11,496.94 and 14,947.03

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Solution

The third proportional to 11,496.94 and 14,947.03 is: 19,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 14,947.03 = 14,947.03 : x
  2. Step 2: Convert to fraction form
    11,496.94/14,947.03 = 14,947.03/x
  3. Step 3: Cross multiply
    11,496.94x = 14,947.03 × 14,947.03
  4. Step 4: Simplify right side
    11,496.94x = 223,413,743.19
  5. Step 5: Solve for x
    x = 223,413,743.19/11,496.94
  6. Step 6: Final answer
    x = 19,432.46

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.