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Finding the Third Proportional to 13,707 and 19,408.50

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Solution

The third proportional to 13,707 and 19,408.50 is: 27,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707 : 19,408.50 = 19,408.50 : x
  2. Step 2: Convert to fraction form
    13,707/19,408.50 = 19,408.50/x
  3. Step 3: Cross multiply
    13,707x = 19,408.50 × 19,408.50
  4. Step 4: Simplify right side
    13,707x = 376,689,872.25
  5. Step 5: Solve for x
    x = 376,689,872.25/13,707
  6. Step 6: Final answer
    x = 27,481.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.