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Finding the Third Proportional to 3,290.63 and 5,230.83

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Solution

The third proportional to 3,290.63 and 5,230.83 is: 8,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.63 : 5,230.83 = 5,230.83 : x
  2. Step 2: Convert to fraction form
    3,290.63/5,230.83 = 5,230.83/x
  3. Step 3: Cross multiply
    3,290.63x = 5,230.83 × 5,230.83
  4. Step 4: Simplify right side
    3,290.63x = 27,361,562.87
  5. Step 5: Solve for x
    x = 27,361,562.87/3,290.63
  6. Step 6: Final answer
    x = 8,315.00

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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.