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Finding the Third Proportional to 5,701.50 and 13,245.75

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Solution

The third proportional to 5,701.50 and 13,245.75 is: 30,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.50 : 13,245.75 = 13,245.75 : x
  2. Step 2: Convert to fraction form
    5,701.50/13,245.75 = 13,245.75/x
  3. Step 3: Cross multiply
    5,701.50x = 13,245.75 × 13,245.75
  4. Step 4: Simplify right side
    5,701.50x = 175,449,893.06
  5. Step 5: Solve for x
    x = 175,449,893.06/5,701.50
  6. Step 6: Final answer
    x = 30,772.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.