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Finding the Third Proportional to 3,200.63 and 3,661.31

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Solution

The third proportional to 3,200.63 and 3,661.31 is: 4,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.63 : 3,661.31 = 3,661.31 : x
  2. Step 2: Convert to fraction form
    3,200.63/3,661.31 = 3,661.31/x
  3. Step 3: Cross multiply
    3,200.63x = 3,661.31 × 3,661.31
  4. Step 4: Simplify right side
    3,200.63x = 13,405,209.22
  5. Step 5: Solve for x
    x = 13,405,209.22/3,200.63
  6. Step 6: Final answer
    x = 4,188.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.