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Finding the Third Proportional to 13,792.50 and 18,438.75

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Solution

The third proportional to 13,792.50 and 18,438.75 is: 24,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.50 : 18,438.75 = 18,438.75 : x
  2. Step 2: Convert to fraction form
    13,792.50/18,438.75 = 18,438.75/x
  3. Step 3: Cross multiply
    13,792.50x = 18,438.75 × 18,438.75
  4. Step 4: Simplify right side
    13,792.50x = 339,987,501.56
  5. Step 5: Solve for x
    x = 339,987,501.56/13,792.50
  6. Step 6: Final answer
    x = 24,650.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.