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Finding the Third Proportional to 8,410.50 and 13,965.75

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Solution

The third proportional to 8,410.50 and 13,965.75 is: 23,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.50 : 13,965.75 = 13,965.75 : x
  2. Step 2: Convert to fraction form
    8,410.50/13,965.75 = 13,965.75/x
  3. Step 3: Cross multiply
    8,410.50x = 13,965.75 × 13,965.75
  4. Step 4: Simplify right side
    8,410.50x = 195,042,173.06
  5. Step 5: Solve for x
    x = 195,042,173.06/8,410.50
  6. Step 6: Final answer
    x = 23,190.32

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.