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Finding the Third Proportional to 2,829.09 and 5,999.91

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Solution

The third proportional to 2,829.09 and 5,999.91 is: 12,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.09 : 5,999.91 = 5,999.91 : x
  2. Step 2: Convert to fraction form
    2,829.09/5,999.91 = 5,999.91/x
  3. Step 3: Cross multiply
    2,829.09x = 5,999.91 × 5,999.91
  4. Step 4: Simplify right side
    2,829.09x = 35,998,875.01
  5. Step 5: Solve for x
    x = 35,998,875.01/2,829.09
  6. Step 6: Final answer
    x = 12,724.53

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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.