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Finding the Third Proportional to 13,896.56 and 21,494.11

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Solution

The third proportional to 13,896.56 and 21,494.11 is: 33,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.56 : 21,494.11 = 21,494.11 : x
  2. Step 2: Convert to fraction form
    13,896.56/21,494.11 = 21,494.11/x
  3. Step 3: Cross multiply
    13,896.56x = 21,494.11 × 21,494.11
  4. Step 4: Simplify right side
    13,896.56x = 461,996,737.82
  5. Step 5: Solve for x
    x = 461,996,737.82/13,896.56
  6. Step 6: Final answer
    x = 33,245.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.