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Finding the Third Proportional to 3,638.36 and 7,795.62

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Solution

The third proportional to 3,638.36 and 7,795.62 is: 16,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.36 : 7,795.62 = 7,795.62 : x
  2. Step 2: Convert to fraction form
    3,638.36/7,795.62 = 7,795.62/x
  3. Step 3: Cross multiply
    3,638.36x = 7,795.62 × 7,795.62
  4. Step 4: Simplify right side
    3,638.36x = 60,771,647.33
  5. Step 5: Solve for x
    x = 60,771,647.33/3,638.36
  6. Step 6: Final answer
    x = 16,703.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.