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Finding the Third Proportional to 1,409.59 and 3,323.21

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Solution

The third proportional to 1,409.59 and 3,323.21 is: 7,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.59 : 3,323.21 = 3,323.21 : x
  2. Step 2: Convert to fraction form
    1,409.59/3,323.21 = 3,323.21/x
  3. Step 3: Cross multiply
    1,409.59x = 3,323.21 × 3,323.21
  4. Step 4: Simplify right side
    1,409.59x = 11,043,756.90
  5. Step 5: Solve for x
    x = 11,043,756.90/1,409.59
  6. Step 6: Final answer
    x = 7,834.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.