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Finding the Third Proportional to 13,896.56 and 15,202.69

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Solution

The third proportional to 13,896.56 and 15,202.69 is: 16,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.56 : 15,202.69 = 15,202.69 : x
  2. Step 2: Convert to fraction form
    13,896.56/15,202.69 = 15,202.69/x
  3. Step 3: Cross multiply
    13,896.56x = 15,202.69 × 15,202.69
  4. Step 4: Simplify right side
    13,896.56x = 231,121,707.22
  5. Step 5: Solve for x
    x = 231,121,707.22/13,896.56
  6. Step 6: Final answer
    x = 16,631.57

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.