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Finding the Third Proportional to 3,202.03 and 4,317.05

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Solution

The third proportional to 3,202.03 and 4,317.05 is: 5,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.03 : 4,317.05 = 4,317.05 : x
  2. Step 2: Convert to fraction form
    3,202.03/4,317.05 = 4,317.05/x
  3. Step 3: Cross multiply
    3,202.03x = 4,317.05 × 4,317.05
  4. Step 4: Simplify right side
    3,202.03x = 18,636,893.72
  5. Step 5: Solve for x
    x = 18,636,893.72/3,202.03
  6. Step 6: Final answer
    x = 5,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.