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Finding the Third Proportional to 13,896.56 and 29,772.56

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Solution

The third proportional to 13,896.56 and 29,772.56 is: 63,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.56 : 29,772.56 = 29,772.56 : x
  2. Step 2: Convert to fraction form
    13,896.56/29,772.56 = 29,772.56/x
  3. Step 3: Cross multiply
    13,896.56x = 29,772.56 × 29,772.56
  4. Step 4: Simplify right side
    13,896.56x = 886,405,477.82
  5. Step 5: Solve for x
    x = 886,405,477.82/13,896.56
  6. Step 6: Final answer
    x = 63,785.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.