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Finding the Third Proportional to 13,857 and 26,438.25

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Solution

The third proportional to 13,857 and 26,438.25 is: 50,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 26,438.25 = 26,438.25 : x
  2. Step 2: Convert to fraction form
    13,857/26,438.25 = 26,438.25/x
  3. Step 3: Cross multiply
    13,857x = 26,438.25 × 26,438.25
  4. Step 4: Simplify right side
    13,857x = 698,981,063.06
  5. Step 5: Solve for x
    x = 698,981,063.06/13,857
  6. Step 6: Final answer
    x = 50,442.45

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.