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Finding the Third Proportional to 3,255.19 and 3,932.30

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Solution

The third proportional to 3,255.19 and 3,932.30 is: 4,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.19 : 3,932.30 = 3,932.30 : x
  2. Step 2: Convert to fraction form
    3,255.19/3,932.30 = 3,932.30/x
  3. Step 3: Cross multiply
    3,255.19x = 3,932.30 × 3,932.30
  4. Step 4: Simplify right side
    3,255.19x = 15,462,958.71
  5. Step 5: Solve for x
    x = 15,462,958.71/3,255.19
  6. Step 6: Final answer
    x = 4,750.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.