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Finding the Third Proportional to 4,020.89 and 8,349.33

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Solution

The third proportional to 4,020.89 and 8,349.33 is: 17,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.89 : 8,349.33 = 8,349.33 : x
  2. Step 2: Convert to fraction form
    4,020.89/8,349.33 = 8,349.33/x
  3. Step 3: Cross multiply
    4,020.89x = 8,349.33 × 8,349.33
  4. Step 4: Simplify right side
    4,020.89x = 69,711,280.14
  5. Step 5: Solve for x
    x = 69,711,280.14/4,020.89
  6. Step 6: Final answer
    x = 17,337.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.