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Finding the Third Proportional to 3,638.81 and 6,135.75

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Solution

The third proportional to 3,638.81 and 6,135.75 is: 10,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.81 : 6,135.75 = 6,135.75 : x
  2. Step 2: Convert to fraction form
    3,638.81/6,135.75 = 6,135.75/x
  3. Step 3: Cross multiply
    3,638.81x = 6,135.75 × 6,135.75
  4. Step 4: Simplify right side
    3,638.81x = 37,647,428.06
  5. Step 5: Solve for x
    x = 37,647,428.06/3,638.81
  6. Step 6: Final answer
    x = 10,346.08

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.