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Finding the Third Proportional to 3,799.45 and 5,683.99

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Solution

The third proportional to 3,799.45 and 5,683.99 is: 8,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.45 : 5,683.99 = 5,683.99 : x
  2. Step 2: Convert to fraction form
    3,799.45/5,683.99 = 5,683.99/x
  3. Step 3: Cross multiply
    3,799.45x = 5,683.99 × 5,683.99
  4. Step 4: Simplify right side
    3,799.45x = 32,307,767.19
  5. Step 5: Solve for x
    x = 32,307,767.19/3,799.45
  6. Step 6: Final answer
    x = 8,503.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.