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Finding the Third Proportional to 3,433.50 and 5,605.31

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Solution

The third proportional to 3,433.50 and 5,605.31 is: 9,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.50 : 5,605.31 = 5,605.31 : x
  2. Step 2: Convert to fraction form
    3,433.50/5,605.31 = 5,605.31/x
  3. Step 3: Cross multiply
    3,433.50x = 5,605.31 × 5,605.31
  4. Step 4: Simplify right side
    3,433.50x = 31,419,528.22
  5. Step 5: Solve for x
    x = 31,419,528.22/3,433.50
  6. Step 6: Final answer
    x = 9,150.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.