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Finding the Third Proportional to 29,462.50 and 54,616

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Solution

The third proportional to 29,462.50 and 54,616 is: 101,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.50 : 54,616 = 54,616 : x
  2. Step 2: Convert to fraction form
    29,462.50/54,616 = 54,616/x
  3. Step 3: Cross multiply
    29,462.50x = 54,616 × 54,616
  4. Step 4: Simplify right side
    29,462.50x = 2,982,907,456
  5. Step 5: Solve for x
    x = 2,982,907,456/29,462.50
  6. Step 6: Final answer
    x = 101,244.21

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.