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Finding the Third Proportional to 2,065.50 and 3,292.31

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Solution

The third proportional to 2,065.50 and 3,292.31 is: 5,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.50 : 3,292.31 = 3,292.31 : x
  2. Step 2: Convert to fraction form
    2,065.50/3,292.31 = 3,292.31/x
  3. Step 3: Cross multiply
    2,065.50x = 3,292.31 × 3,292.31
  4. Step 4: Simplify right side
    2,065.50x = 10,839,321.60
  5. Step 5: Solve for x
    x = 10,839,321.60/2,065.50
  6. Step 6: Final answer
    x = 5,247.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.