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Finding the Third Proportional to 3,209.63 and 6,834.38

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Solution

The third proportional to 3,209.63 and 6,834.38 is: 14,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.63 : 6,834.38 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    3,209.63/6,834.38 = 6,834.38/x
  3. Step 3: Cross multiply
    3,209.63x = 6,834.38 × 6,834.38
  4. Step 4: Simplify right side
    3,209.63x = 46,708,681.64
  5. Step 5: Solve for x
    x = 46,708,681.64/3,209.63
  6. Step 6: Final answer
    x = 14,552.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.