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Finding the Third Proportional to 14,563.13 and 25,896.38

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Solution

The third proportional to 14,563.13 and 25,896.38 is: 46,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.13 : 25,896.38 = 25,896.38 : x
  2. Step 2: Convert to fraction form
    14,563.13/25,896.38 = 25,896.38/x
  3. Step 3: Cross multiply
    14,563.13x = 25,896.38 × 25,896.38
  4. Step 4: Simplify right side
    14,563.13x = 670,622,238.14
  5. Step 5: Solve for x
    x = 670,622,238.14/14,563.13
  6. Step 6: Final answer
    x = 46,049.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.