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Finding the Third Proportional to 2,684.25 and 5,829.75

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Solution

The third proportional to 2,684.25 and 5,829.75 is: 12,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.25 : 5,829.75 = 5,829.75 : x
  2. Step 2: Convert to fraction form
    2,684.25/5,829.75 = 5,829.75/x
  3. Step 3: Cross multiply
    2,684.25x = 5,829.75 × 5,829.75
  4. Step 4: Simplify right side
    2,684.25x = 33,985,985.06
  5. Step 5: Solve for x
    x = 33,985,985.06/2,684.25
  6. Step 6: Final answer
    x = 12,661.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.