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Finding the Third Proportional to 6,204.09 and 12,829.64

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Solution

The third proportional to 6,204.09 and 12,829.64 is: 26,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.09 : 12,829.64 = 12,829.64 : x
  2. Step 2: Convert to fraction form
    6,204.09/12,829.64 = 12,829.64/x
  3. Step 3: Cross multiply
    6,204.09x = 12,829.64 × 12,829.64
  4. Step 4: Simplify right side
    6,204.09x = 164,599,678.57
  5. Step 5: Solve for x
    x = 164,599,678.57/6,204.09
  6. Step 6: Final answer
    x = 26,530.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.