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Finding the Third Proportional to 22,534.50 and 48,912

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Solution

The third proportional to 22,534.50 and 48,912 is: 106,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.50 : 48,912 = 48,912 : x
  2. Step 2: Convert to fraction form
    22,534.50/48,912 = 48,912/x
  3. Step 3: Cross multiply
    22,534.50x = 48,912 × 48,912
  4. Step 4: Simplify right side
    22,534.50x = 2,392,383,744
  5. Step 5: Solve for x
    x = 2,392,383,744/22,534.50
  6. Step 6: Final answer
    x = 106,165.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.