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Finding the Third Proportional to 9,525.94 and 20,896.31

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Solution

The third proportional to 9,525.94 and 20,896.31 is: 45,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.94 : 20,896.31 = 20,896.31 : x
  2. Step 2: Convert to fraction form
    9,525.94/20,896.31 = 20,896.31/x
  3. Step 3: Cross multiply
    9,525.94x = 20,896.31 × 20,896.31
  4. Step 4: Simplify right side
    9,525.94x = 436,655,876.10
  5. Step 5: Solve for x
    x = 436,655,876.10/9,525.94
  6. Step 6: Final answer
    x = 45,838.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.