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Finding the Third Proportional to 13,816.50 and 21,912

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Solution

The third proportional to 13,816.50 and 21,912 is: 34,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.50 : 21,912 = 21,912 : x
  2. Step 2: Convert to fraction form
    13,816.50/21,912 = 21,912/x
  3. Step 3: Cross multiply
    13,816.50x = 21,912 × 21,912
  4. Step 4: Simplify right side
    13,816.50x = 480,135,744
  5. Step 5: Solve for x
    x = 480,135,744/13,816.50
  6. Step 6: Final answer
    x = 34,750.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.