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Finding the Third Proportional to 3,223.24 and 6,834.51

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Solution

The third proportional to 3,223.24 and 6,834.51 is: 14,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.24 : 6,834.51 = 6,834.51 : x
  2. Step 2: Convert to fraction form
    3,223.24/6,834.51 = 6,834.51/x
  3. Step 3: Cross multiply
    3,223.24x = 6,834.51 × 6,834.51
  4. Step 4: Simplify right side
    3,223.24x = 46,710,506.22
  5. Step 5: Solve for x
    x = 46,710,506.22/3,223.24
  6. Step 6: Final answer
    x = 14,491.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.