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Finding the Third Proportional to 5,965.50 and 14,616

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Solution

The third proportional to 5,965.50 and 14,616 is: 35,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.50 : 14,616 = 14,616 : x
  2. Step 2: Convert to fraction form
    5,965.50/14,616 = 14,616/x
  3. Step 3: Cross multiply
    5,965.50x = 14,616 × 14,616
  4. Step 4: Simplify right side
    5,965.50x = 213,627,456
  5. Step 5: Solve for x
    x = 213,627,456/5,965.50
  6. Step 6: Final answer
    x = 35,810.49

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.